{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting Decision Regions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A function for plotting decision regions of classifiers in 1 or 2 dimensions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> from mlxtend.plotting import plot_decision_regions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### References\n",
    "\n",
    "- "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 1 - Decision regions in 2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, [0, 2]]\n",
    "y = iris.target\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(C=0.5, kernel='linear')\n",
    "svm.fit(X, y)\n",
    "\n",
    "\n",
    "# Plotting decision regions\n",
    "plot_decision_regions(X, y, clf=svm, legend=2)\n",
    "\n",
    "# Adding axes annotations\n",
    "plt.xlabel('sepal length [cm]')\n",
    "plt.ylabel('petal length [cm]')\n",
    "plt.title('SVM on Iris')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 2 - Decision regions in 1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, 2]\n",
    "X = X[:, None]\n",
    "y = iris.target\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(C=0.5, kernel='linear')\n",
    "svm.fit(X, y)\n",
    "\n",
    "# Plotting decision regions\n",
    "plot_decision_regions(X, y, clf=svm, legend=2)\n",
    "\n",
    "# Adding axes annotations\n",
    "plt.xlabel('sepal length [cm]')\n",
    "plt.title('SVM on Iris')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 3 - Decision Region Grids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.naive_bayes import GaussianNB \n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.svm import SVC\n",
    "from sklearn import datasets\n",
    "import numpy as np\n",
    "\n",
    "# Initializing Classifiers\n",
    "clf1 = LogisticRegression(random_state=1,\n",
    "                          solver='newton-cg',\n",
    "                          multi_class='multinomial')\n",
    "clf2 = RandomForestClassifier(random_state=1, n_estimators=100)\n",
    "clf3 = GaussianNB()\n",
    "clf4 = SVC(gamma='auto')\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, [0,2]]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mlxtend.plotting import plot_decision_regions\n",
    "import matplotlib.gridspec as gridspec\n",
    "import itertools\n",
    "gs = gridspec.GridSpec(2, 2)\n",
    "\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "\n",
    "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n",
    "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n",
    "                         labels,\n",
    "                         itertools.product([0, 1], repeat=2)):\n",
    "\n",
    "    clf.fit(X, y)\n",
    "    ax = plt.subplot(gs[grd[0], grd[1]])\n",
    "    fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n",
    "    plt.title(lab)\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 4 - Highlighting Test Data Points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "from mlxtend.preprocessing import shuffle_arrays_unison\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X, y = iris.data[:, [0,2]], iris.target\n",
    "X, y = shuffle_arrays_unison(arrays=[X, y], random_seed=3)\n",
    "\n",
    "X_train, y_train = X[:100], y[:100]\n",
    "X_test, y_test = X[100:], y[100:]\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(C=0.5, kernel='linear')\n",
    "svm.fit(X_train, y_train)\n",
    "\n",
    "# Plotting decision regions\n",
    "plot_decision_regions(X, y, clf=svm, legend=2, \n",
    "                      X_highlight=X_test)\n",
    "\n",
    "# Adding axes annotations\n",
    "plt.xlabel('sepal length [cm]')\n",
    "plt.ylabel('petal length [cm]')\n",
    "plt.title('SVM on Iris')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 5 - Evaluating Classifier Behavior on Non-Linear Problems"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.naive_bayes import GaussianNB \n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Initializing Classifiers\n",
    "clf1 = LogisticRegression(random_state=1, solver='lbfgs')\n",
    "clf2 = RandomForestClassifier(n_estimators=100, \n",
    "                              random_state=1)\n",
    "clf3 = GaussianNB()\n",
    "clf4 = SVC(gamma='auto')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Loading Plotting Utilities\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "import itertools\n",
    "from mlxtend.plotting import plot_decision_regions\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### XOR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "xx, yy = np.meshgrid(np.linspace(-3, 3, 50),\n",
    "                     np.linspace(-3, 3, 50))\n",
    "rng = np.random.RandomState(0)\n",
    "X = rng.randn(300, 2)\n",
    "y = np.array(np.logical_xor(X[:, 0] > 0, X[:, 1] > 0), \n",
    "             dtype=int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gs = gridspec.GridSpec(2, 2)\n",
    "\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "\n",
    "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n",
    "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n",
    "                         labels,\n",
    "                         itertools.product([0, 1], repeat=2)):\n",
    "\n",
    "    clf.fit(X, y)\n",
    "    ax = plt.subplot(gs[grd[0], grd[1]])\n",
    "    fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n",
    "    plt.title(lab)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Half-Moons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "X, y = make_moons(n_samples=100, random_state=123)\n",
    "\n",
    "gs = gridspec.GridSpec(2, 2)\n",
    "\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "\n",
    "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n",
    "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n",
    "                         labels,\n",
    "                         itertools.product([0, 1], repeat=2)):\n",
    "\n",
    "    clf.fit(X, y)\n",
    "    ax = plt.subplot(gs[grd[0], grd[1]])\n",
    "    fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n",
    "    plt.title(lab)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Concentric Circles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_circles\n",
    "X, y = make_circles(n_samples=1000, random_state=123, noise=0.1, factor=0.2)\n",
    "\n",
    "gs = gridspec.GridSpec(2, 2)\n",
    "\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "\n",
    "labels = ['Logistic Regression', 'Random Forest', 'Naive Bayes', 'SVM']\n",
    "for clf, lab, grd in zip([clf1, clf2, clf3, clf4],\n",
    "                         labels,\n",
    "                         itertools.product([0, 1], repeat=2)):\n",
    "\n",
    "    clf.fit(X, y)\n",
    "    ax = plt.subplot(gs[grd[0], grd[1]])\n",
    "    fig = plot_decision_regions(X=X, y=y, clf=clf, legend=2)\n",
    "    plt.title(lab)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 6 - Working with existing axes objects using subplots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mlxtend.plotting import plot_decision_regions\n",
    "\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.naive_bayes import GaussianNB \n",
    "from sklearn import datasets\n",
    "import numpy as np\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, 2]\n",
    "X = X[:, None]\n",
    "y = iris.target\n",
    "\n",
    "# Initializing and fitting classifiers\n",
    "clf1 = LogisticRegression(random_state=1,\n",
    "                          solver='lbfgs',\n",
    "                          multi_class='multinomial')\n",
    "clf2 = GaussianNB()\n",
    "clf1.fit(X, y)\n",
    "clf2.fit(X, y)\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 3))\n",
    "\n",
    "fig = plot_decision_regions(X=X, y=y, clf=clf1, ax=axes[0], legend=2)\n",
    "fig = plot_decision_regions(X=X, y=y, clf=clf2, ax=axes[1], legend=1)\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 7 - Decision regions with more than two training features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Loading some example data\n",
    "X, y = datasets.make_blobs(n_samples=600, n_features=3,\n",
    "                           centers=[[2, 2, -2],[-2, -2, 2]],\n",
    "                           cluster_std=[2, 2], random_state=2)\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(gamma='auto')\n",
    "svm.fit(X, y)\n",
    "\n",
    "# Plotting decision regions\n",
    "fig, ax = plt.subplots()\n",
    "# Decision region for feature 3 = 1.5\n",
    "value = 1.5\n",
    "# Plot training sample with feature 3 = 1.5 +/- 0.75\n",
    "width = 0.75\n",
    "plot_decision_regions(X, y, clf=svm,\n",
    "                      filler_feature_values={2: value},\n",
    "                      filler_feature_ranges={2: width},\n",
    "                      legend=2, ax=ax)\n",
    "ax.set_xlabel('Feature 1')\n",
    "ax.set_ylabel('Feature 2')\n",
    "ax.set_title('Feature 3 = {}'.format(value))\n",
    "\n",
    "# Adding axes annotations\n",
    "fig.suptitle('SVM on make_blobs')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 8 - Grid of decision region slices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Loading some example data\n",
    "X, y = datasets.make_blobs(n_samples=500, n_features=3, centers=[[2, 2, -2],[-2, -2, 2]],\n",
    "                           cluster_std=[2, 2], random_state=2)\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(gamma='auto')\n",
    "svm.fit(X, y)\n",
    "\n",
    "# Plotting decision regions\n",
    "fig, axarr = plt.subplots(2, 2, figsize=(10,8), sharex=True, sharey=True)\n",
    "values = [-4.0, -1.0, 1.0, 4.0]\n",
    "width = 0.75\n",
    "for value, ax in zip(values, axarr.flat):\n",
    "    plot_decision_regions(X, y, clf=svm,\n",
    "                          filler_feature_values={2: value},\n",
    "                          filler_feature_ranges={2: width},\n",
    "                          legend=2, ax=ax)\n",
    "    ax.set_xlabel('Feature 1')\n",
    "    ax.set_ylabel('Feature 2')\n",
    "    ax.set_title('Feature 3 = {}'.format(value))\n",
    "\n",
    "# Adding axes annotations\n",
    "fig.suptitle('SVM on make_blobs')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 9 - Customizing the plotting style"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEWCAYAAABsY4yMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nOydd3hdxbW339mnN/UuWbbcZOOGwQ1jsE03EGrAEDoJBNJI6Nx7k0AK5SYhhJDkUr4EQkIJLRRDML0ZG9wtd1tW79KRTm97z/fHlmTJqjZykdjv8/Dgc/bsmXWOpN9es2bNGiGlxMDAwMBg5KEcbgMMDAwMDA4OhsAbGBgYjFAMgTcwMDAYoRgCb2BgYDBCMQTewMDAYIRiCLyBgYHBCMUQeAODIwQhxFtCiKsOtx0GIwdD4A2GBUKIBUKIFUKINiFEixDiMyHEbCHEcUKIoBDC08s964QQPxBCjBFCSCHE2n2uZwghYkKIskNg/yIhRFV/baSUS6SUTx1sWwy+PhgCb3DEI4RIAt4A/gikAfnAPUBUSvk5UAVcuM89U4GjgGe7vO1qf7+DbwF7DqLpg0LoGH+LBkOO8UtlMByYCCClfFZKqUopw1LK5VLKje3XnwKu3OeeK4FlUsrmLu89DVy1T5u/9zewEGK+EOLL9pnDl0KI+V2ufSiE+GX7bMIvhFguhMgYzAdqv/fXQojPgBAwtv2977RfHy+E+Kh93CYhxPOD6dfAoCuGwBsMB3YAqhDiKSHEEiFE6j7XnwZOEEIUArR7w9+ip3j/A7hECGESQkwGPMCqvgYVQqQBy4CHgXTgQWCZECK9S7NvAdcAWYAVuHU/PtcVwPXtdpTvc+2XwHIgFShAn70YGOwXhsAbHPFIKX3AAkACjwONQojXhBDZ7dcrgY+Ay9tvORmwo4tzV6qA7cAp6J58v947cBawU0r5tJQyIaV8FtgGfKNLm79JKXdIKcPAv4Cj9+OjPSml3Nzed3yfa3FgNJAnpYxIKT/dj34NDABD4A2GCVLKrVLKq6WUBcBUIA94qEuTrmGaK4BnehFN0EX9auBSdI++P/Lo6VmXo68BdFDX5d8hwD1An12p7Ofa7YAAvhBCbBZCXLsf/RoYAIbAGwxDpJTbgCfRhb6Dl4F8IcRi4AL69s5fQvfMS6WU+4r3vtSge9FdKQSq99fmPuizlKuUsk5KeZ2UMg/4LvBnIcT4IRrX4GuCIfAGRzxCiElCiFuEEAXtr0ehe+ArO9pIKYPAi8DfgHIp5ere+mpvdxLwnUEM/SYwUQjxLSGEWQixFD0z542v9IEGgRDioo7PC3jRHwbqwR7XYGRhCLzBcMAPzAVWCSGC6MJeAtyyT7un0D3ufmPrUsrVUsrdAw3anoFzdvs4zehhk7OllE37/Qn2n9nonzcAvAbcJKU87CmdBsMLYRz4YWBgYDAyMTx4AwMDgxGKIfAGBgYGIxRD4A0MDAxGKIbAGxgYGIxQzIfbgK7U+KuMFV8DAwOD/SDPUyD6unZECbw/1na4TTAwMDAYZhT0ecUI0RgYGBiMUAyBNzAwMBihGAJvYGBgMEI5omLwvSE1iYyD0Ixn0YEiFQ1hAaH0uRZjYGAwAjnyBT4ODqsTk0VBCEOg9hcpJWpcIxwLIWyH2xoDA4NDyRHvFgtNMcT9KyCE0L8/YwZkYPC1Y1j81Rvi/tUwvj8Dg68nw0LgDQwMDAz2nyM+Bj8YbnmujJZgYsB2aS4zv7tkzH73/8G7H3L3Hb9AVVUuvXIp37/5ewdgpYGBgcGhZUQIfEswQabHMmC7Rn9vR3T2j6qq/M8tP+OZf/+D3Pwczl58DqeeeSoTJ004EFMNDAwMDhlGiGYA1q9Zz5ixoxldVIjVauWcC77B8mXLD7dZBgYGBgNiCPwA1NXUk5ef1/k6Nz+Xutr6w2iRgYGBweAwBH4AejvS0MhKMTAwGA4YAj8Aufk51FTXdL6ura4lOyfrMFpkYGBgMDgMgR+AGcfMoGx3GRVllcRiMV57+XVOPfPUw22WgYGBwYCMiCyag4nZbOaXv/0Fl19wJaqqsvTyiymePPFwm2VgYGAwIIbAD4KTTlvMSactPtxmGBgYGOwXRojGwMDAYIQyIjz4NJd5UJuY0lwj4uMaGBgYDIoRoXgHUn7AwMDAYKRz0AReCFEMPN/lrbHAz6SUDx2sMQ0MDEYWwViAPa27iCQi2M0OilLG4bK6D7dZw4aDJvBSyu3A0QBCCBNQDbxysMYzMDAYOYTjIZaXLqOkcQNSSqTUEEI/F2Jq5gxOG3sWDovzcJt5xHOoQjQnA7ullOWHZDQpsdZuIJY7A4xdpwYGw4pwPMSTGx+lKdSAx5qEIkyd1zSpsqlhHTWBKq6e/l1D5AfgUGXRXAI829sFIcT1QojVQojVzz/1wpAMZqnfTMr792Gp3zwk/d3y/ds4etyxnDzvtCHpz8DAoG+Wly6jOdRIsi21m7gDKMJEki2FplAjy0uXHSYLhw8HXeCFEFbgHKBX9ZZSPialnCWlnLX0qou++oBS4l73DCIRxb3uWeillsz+ctG3vsnTLz311W0zMDDol2AsQEnjBtxWT7/tPFYPJY0bCMYCh8iy4cmh8OCXAGullIekBKOlfjOW5lISyflYmncPiRc/7/i5pKQmD4F1BgYG/bGndRdSyk7PPZqIUB+opcZfRX2glmgiAuievJQae1p3H05zj3gORQz+UvoIzww57d67NFtACKTZgnvds3jP+JURizcwGAZEEhGk1IglYlT49hBOhIG9s/CGUD0Os4PCpCKklETVyOEzdhhwUD14IYQTOBV4+WCO00GH967ZkgDQbElD5sUbGBgcfOxmO6rU2NW6nXAihED31jv+E0A4EWJX63ZUqWIz2Q+3yUc0B9WDl1KGgPSDOUaXwbp574DhxRsYHOHEYnHWrlrHJx99QnVDFZpJpcpTiucoO3ZPT/EWQkEAqpagMdRAUcq4Q2/0MGJE7GQFsNSVYGkuRXV1f5509eLjOVMPk3UGBgb7Ul5awZ9+92eCTh/mYoljko1QKEpkbZSGv3vJnp9C+tEpfR6wk9DihOJBY+NTP4yMYmNS4l6/j/feQacX/8wBZ9R8/9ofct6pF1C6s5TZk+fx3N+fH/gmAwODPqmvrecP9z+MfR7knJNM0bRC8grz8Ixykn9KBmMvy6VpnY/mkrYep6pJNEyKCZMwsap6xWH6BMODEeHB6977nh7eewe6F196wF78n/76x69qooGBQRfeeHEZqcd4EGOiJNlSOt9XNRUAR4qdwnOyKXuhluRJTsyWvVJlVizYTDaiiQihRPBQmz6sGP4efH/eewdD4MUbGBgMDb42HxvWbUQdH+6R725STID+d+zMsOPItuHfEcGqWLGZ7DgtbmwmW2d7p9l1KE0fdgx7D97SsBVr3Wak2YEp0dh3QwnWuhIsDVuJZx916Aw0MDDoRsWeSjx5Lsw2euxUTbWn0RCsR0+NFCSNdRGuiyCmK5iVvXIlpQQhmJs/v/M9TdMo3bkHv8+P3W5nXPE4rFbLIfpURybDXuBVVwa++d/fr/YGBgaHD1VVQQEptR7XrCYbTouTUDyop0UqAqmCpPvMO6ZFGZ08jkxXNpqm8d5b7/PB2x9idVjBpeH3+Wlr9HPSSYu54OLzsTu+numUw17gNXcW4eLTD7cZBgYGgyQrJ5PmmhbytNRerxcmj2Fny3ZULUG4Poo11YxoD9tIKYlpUZwWN9fN/AGqqvLEH/+Kz9fGuHNHUWerREpJirRib/Ww7NNXee/md/jN/b8hLfnQZGwfSQx7gTcwMDg8tHrb+OTjT9hVtROpaEycMoFFcxfjtvVfRyY3P5fC3ELqd1WQNM3TI0xjUaxMSCumtH43rTsCjL8qn4QaR9USIASjk8dx3cwfkOZI561//wd/wI/zDEFNtAyPZW/1yeQcyLggnXVvlHDbvbfyyK/+9LWrPin2TUE6nGxv3tzDGBkWuJMGv5ASiAXY5d1ONBHGbnYwLrUYt5EnS8AXRDiOnJ+1wfAlGony1ON/591P38U21oQz3U4ilqBxSwtSwtmXL+HKU67pV0w3rd3E/Q89QNFF2WRlZ/e4rqkaa/9VQsIaY+a50xidUoTT7GJewQIynJkAJBIJ/vumnzH54rFUKaXdsnG6koipvP3bD7nqrm/xrblXDc2XcARRnD6lzx2cI8aDD8VDLNv1Chvq1+gHBKAh0A8ImJF9LGeNPx/nATy9a6pq+PENN9NY34iiKHzr6kv59o3XHoRPYGBw5BOLxXnw3t+zR93J5OsKSfWkdXrM8mRJ/Y5GXnn8NeoDddx23l19ivy0Y6Zx1aVX8pen/kzDrBYmzCrC5rSjqRoNO5rZ/WkZ0iFZeOFxXDvzxl772VayneQ0D9WmMtyWvmcNZquJUdNy+ejjjzh35oVfq41RI0LgQ/EQj639Aw2hepKsSe2pVjqqprKu7kuqfRVcf8xN+y3yJrOZn/7qf5h29FQC/gBnLvwGJyw+gYmTJgz1xzAwOOJ57833qI1XM2pJFsn27jF0IQQ5xVnMWXoMK/+1mreOep0Lpizts6/TlpzGqDGjeOL5x3jnwU8xWRXUqIo720n+sTmctOhkzhh/dp8PCb/Pj/BItC7VJ/vCleairbWVPa27mZo1Y/8/+DBlRAj8sl2v0BCqJ9Xec9HGpJhItafSEKpn2a5XuGjyZfvVd3ZOFtk5WQC4PW7GF4+jrqbOEHiDrx2apvH+8g9wLjbjaS/o1xsZRakkpXv46PMPOX3CWf16zJMnT+Z3d/+e1oCXrTVb0EwqyZ5kxqaOx2npPzRrtVoJBIPYe8nG2ZdEJIFiVr521SeH/UanQCzAhvo1JFn7/oUDSLImsbF+DYGvcEBAZXklmzduYeasow+4DwOD4UpVeRUxJYI7xzmgx1wwPZem7S2Drtee4k7luInHc/y4E5maNWNAcQconlJMbWk98bDabzspJTUl9aRPSP3aVZ8c9gK/y7sdKWW3sExvmBQTmpTs9m4/oHGCgSDfveJG7r7vZ3iS+s8SMDAYaQRjAUpqNhBUAoTiQT2jpR9MDoVwOMKWxo2UNBz4yUvBWICShvWsrlnZox+3x8Vx8+ZRtbIWTfYt8jWb6jHbTSTne7521SeHfYgmmggjGXiKBnqRokhi/6do8Xic66+4gfMuPo8l55yx3/cbGAxXwvEQy0uXUdK4gUBjiMqaCizhXPwxH0m2JDKd2T0OxW4M1VNWVUbCGmN9/Wp2tGxDCMHUzBmcNvasQaUqdh1XSomUml4qeJ9+Lr7sIj7+8Uds/mA7UxZOQjHt9VmllNRubmDL2zuZfPFYpmUd/bVaYIURIPA2swMxyImIQMFu3r8pmpSS235wBxOKx3P9D75zICYaGAxLwvEQT258lMZgPbQoCJ+CWbMS2BUmfVIKvqiPSCLCqKTRKMKEJlUqfeVEExFaNvkpODWTDGc2ZsWMJlU2NayjJlDF1dO/26/Id4zbFGrAY03q8QDp2k9ySjIP3P8At//yNt7+3YcUHTsKZ7KTWChO9aY6pJRMvqiIorFjOG3sWYfiazuiGPYCPz61GCEEqqb2G6ZRNRVFCMalFu9X/1+uXM1Lz73MpCmTOH3BEgDu+NntnHTa4q9kt8HIJBgLsKd1F5FEBLvZQVHKuGHrNb69+w02r9pK/eoW4pE4tjQLcS3Olsf3kHdyJoULc4g5YzSG6sl25dEYqiemxvBuDIJZkjM2u7N+jCJMJNlSaAo1srx0GecWX9TnuMtLl9EcaiTZ1jNpord+8nLyePyhx3nus3/yySef4KvwY7IoFJ2aR8roZKZlHT3omcNIY9gLvNvqZkb2sayr+7LXLJoOfDEfM3Nm7/empznHzaayrewrWmkw0hlsSGG4EIwFeO1fb+Dd6SN3cTpKroYQggzpxvqGQtMGL95tPqZcMw5fio9UezotrV6a17XRuMnL5EvHkeXK6dGvx+qhpHEDpxQt6fXBF4wFKGnc0KPK5ED9OCxOrll0HRfPv5Q9rbuJqhFsJvugsnFGMgdV4IUQKcATwFT08nDXSik/H+pxzhp/PtW+ij7z4H0xH1nObM4af/5QD21gsF8hhYMl8kM1c+jo592P3qFmSz0TLi0Am4ZJmDtPVhp/zig8+S7K3q5m9f9uIee4NMrVOlor/SSPdXPMVVMoyBnV64xaESak1PrMR9/Tugs5iLz2vvpxWd1fqzz3gTjYHvwfgP9IKb8phLACB+W322lxcv0xN7Fs1ytsrF+D1mUnqyIEM3NmH/BOVgODgdjfkMJQMlQzh337WfnmOlLm2YmYQlg0KybT3t3wQghyZqWTNTOVdX/cjj3JRnFxMfGzw+Rl5GNS+pcVKWWf+eiRRKTXKpP724+BzkETeCFEEnAicDWAlDIGxA7WeE6Lk4smX8aSceey27u93ZOxMz61eNjGQA2OfA40pDAUDNXMYd9+Iq0xEj4V99hkBIKEjKOpKnaTs9uZOopJIf/4LAJNIWbNncWWpk0DijvoD4i+8tHtZjtCDDJpop9+DHQOpgc/FmgE/iaEmAGsAW6SUh7UM7Y6YvIGBoeCAw0pSCnZuW0X7y1/n90VO9Gkxqixozj37HMZO2Zsj/ullGwr2c4H737A7srdSDQS6VEcU8zk5+X3Ot6BLmpG/FHsyTaEAkiBvzRES4mPREDDbDHhKXSSNSMNW5IVe6qV1nIf2a4ctjaXoEm13+9CkypCKH3moxeljEcI8ZX7MdA5mBudzMAxwF+klDOBIHDnvo2EENcLIVYLIVY//9QLX2lAKSW1NXXs3L6LyvLKHof1GhgMNQcSUgj4Azxwz2+498Ffs0H9AmV2HGVWjE3edXz/lu9xx723EYj4O+9ra23j3p/ez28eeYASsQbTnDjymAiVwXJW/XUdn//7CxKJ3jcedcwc+tpo1NsMxGwzk4ioJFo1djxVScMXXjzjHeSclEL6PA+RUJRNf9tJxWe1RIJRbDYbdouDqZkzCMT8vY7TgT/mZ2rmjD5nMS6re0j6MdA5mB58FVAlpVzV/vpFehF4KeVjwGPQe7ngwSCl5LOPVvDOW+/g8/lJS0sj4Nd/oReftohTzjgZs3nYJwwZHIHsb0hBUc38/t6HqPdUM/aKHJJsyZ2eauF4OGpRjJXPrOWWe3/CQz99GJFQePDXD9Ga1cCY07I72/tjbSQyIuTPzWLXKxWseO0Ljj9vbo+FTYFCIhpnV9MOZuQd08Om3mYg7gwniXCc3f+sIfOEZFKn7xVRRSh4Cl1kzk6h7JVaEn6NqWdOxGayc9rYs6gJVNEUasRj9fQIGfljfjKcmQPmow9VPwYHUeCllHVCiEohRLGUcjtwMrDlIIzD3x59koqyCi685EKmHT0VIQRSSkp3lfLvF15l0/oSbrr9h1it1v3q29vi5ZJzvgWglws2mUjPSAPg9fdfHXR/zz39L046bRFZ2Vn9ttuzu4wbrrqRtz99q8825XsqWL9mPed+85xBfgqDg8n+hhQaS5qpV2vJXpDSoxojgNVmZf5ls3n3Dx/z3Kf/oCA0ljZrMxlzk0i2pxJTo3gjDYTiQeJaDJvdzoQLRrPpiZ1UzKqgqLAIgHBbhPIvq6lYW00oFGSddQcTxk/gzDPP5IQTF3Q6PL3NQBSTgt3lwB8MkjbNA4jO3eL6WagaFo+JvBMy2fzHPVjyBEUp43BYnFw9/btdFms1pJQIIRBCYXrWzEEt+g5VPwYHP4vmh8A/2zNoSoFrhnqA5W++Q01VLXfefQd2+94FFyEE4yaM4yd3/phHH36MZ556jquvu3K/+k5NS+0U2wfv+z1Ol4sbfnT9ftv4r3/8i2kzpgwo8IOhoqyC115+3RD4I4SOkMKmhnV9HjgBekhhWubRfPbqCmzTRL/VGM1WE2NnF/L+8g/ICezGerzAbnGw27uDUDzU3koikSS0gO54TE2l7MtKRhWMorXcz9oXNuEpdpB7QQqWlDSSramEywM88vwfeP61Z7n3nvtIS07rdQaixlViwTjWZDM1HzSTtzADk1mv5WRRLJgUE+HaGLXvtpB5TAot23xwtn6vw+Lk3OKLOKVoyVfKRx+qfr7uHFSBl1KuB2YdrP5VVeXtZcu56bYfdRP3riiKwuXXXsYdN93FhUvPH7JCYS888yJPPf408XiMY+ccy69++ws0TeOW793G5k1bkFJy2dWXkpGZweZNW/jeNT/E7rD18PzXr9nAbT+8A6fTway5e7+qstJybv7erYQCQRRF4dcP/pKZs2Zy390PUFZaxukLlrD08os56bSTem1ncOgYbEhhUf6pvFL1FuO/kTvgomx2cRZlz1WSoIKJOQXs9u5E1RIoQgEEIFHbC2xpUsU+RqHxkwDNdc1seGE7OUtSceSbMQkzqlTJcmdjmmZm9JQC1r66iZvv/jF/+d//63UGEmgMYkkyMfq80ZQtr2XbExWkTnJjTbdgUa207vQT88UpODUTk2YitCt+0PLRjbz2r8awDkxvLdlKSmoKo4sK+23nSfJw9LFHs2rFF5xyxslfedxtW7bznzfe5t/vvITZbOaOH93Fqy+9zpiiQlqaW3j387cBfXEsOSWZJx97il/+5h6mTJ/So69bvncr9//hPmbPm8Xdd/2i8/3snCye+ffT2O12du3YxU9uuIXX33+Vu+6+gycff4r/98zjAIRD4V7bGQwNg9lA1DWksL5+Nf6oD1WqmIQZj83D0dmzOCZnDu/t/g/N0UYyonYcFgdWk63PcRWzghrXkDZJY7ixXdxN6J67Hi4RCCQSEKDoR9iVr6omdbobR74Zs2IhoSVIsiV1pi+aFDPHnjODdx76mGc+fppvn/zdHjMQTZOgCEwOE8XnFeFvDtC02UukLkbCrJFxTDLJ490kO5LRKkzsVsuMfPQjlGEt8C3NXvIL8gbVNi8/l5bmliEZ99MPP2XD2o2ctegbAETCUXILcll08omU7izl53fczeJTF7Pw5BP77aeluYVIOMLsebrnfuHSC/j8E32jbzQa46e3/YwtJVsxm02U76notY/BtjPYP/Z3A1E4EWZb0xbqArXt2Vu68AZifhqDb/L27teREnzxNprq7fiibTgtTgqTx2BReq7l+Gr8uLOcJJoShNqC2DxWNKn1UTlVEmmIYfaYqN/cxLgr8zAJMwktgdVkJdPZ/cxTxaQwdnYhH733EZeccFmPGYgj2U7UG0WLSYQdnGl2xi0sJNWRDugLsk6LC5MwsaOuFEea3chHP0IZ1gJvsVqIhAfnOUSjUSwWy5CMK6Vk6eUXc9v/3NLj2vIV/+GDdz7kb48+yVuv/YcHHr6v/85E7+flPvbI4+Tl5/Lw4w8Rj8eZlNfT+9+fdgaDZ383ELWEm7n3s58SigWwmWydW/o1TRJM+EmocQDsJgfpU5Np2Rgg98Q0QvEgO1u2kevOR0FBUUw4zU5Mipmy1ZXkz8nBVGdj18atZM7viO/v+/sikVLSstFP6gwPrS0BcGioMkGSLblHOd8O0kalUrOjrjO00m1R06rhGeWieWsrmdNTSbb33o+malSsrWbqJROMfPQjlGF94Efx5IlsKdlKeACRl1KyeuVqjpp21JCMu2DRAt54ZVnnjMDb4qW6sprmpmaklJx9/lncfNdP2LShBACX20Ug0HN/V1p6Gna7jTVfrAHglRf+3XnN7/OTlZOFEIIXn3mpM6ff7XER9AcHbGdw4HTd+LOvqO27gQjg8bWPEIoHsJntneIOEE6Eut0bUcMkT3fSutWPvzLUvkiaoNpXSUOojrpADaWtu1j7/npCoRALj1vIpOMn0LLRT6gmQk9xBymhaVUbwiRwFdjoSIgZ6LdAahIEnaGVjkXNH8+5k/OKl3LFJVcQWytwhpPIduX1+B6klGx+cwf2bBtzjzrOyEc/QhnWHnxaehqTp0zig+UfcOa5S/pst/bLtZjM5iE7R3XylEn8+M6buPTcy9A0icVs5t7f/xqTycRtP7gdiUQguOsePe3/4ssu4vYf3tnrIutv//wbbv/hnTidDk486YTO96++/kq+e+X3ePXF11iwaAFWm37PlOlTUDWV044/g0uuWNpnO4MDY39LD8zMnkW5rxSr0j2ermkaGj1PGbIlWSg8M5uKN+tJmeombZoHS5IZRZgI10epX9OCvybIlEvHs7DoFD4U75B/RgaVrzWSOt1D6nQ3FrcFKSXhuhgta9uINscpvCALs8OEoimobeDIsPSo196Vxt3NJOW6e4RWOhY1p2bNICWezu/+/Du8s9qYMHssdpcdKSXNe7zs/rSMUCTM4msWGPnoRzDiSPL4etvoJMMCd1LfaVH1dQ3c9/P7+ealF3L8wvndPCiAzRs38+gfH+f7N3+P4skTh97oYULAF0Q4jpyf9ZFKScN6/r39BZJsyf22S2gJmkINpNhTKPXubk833Pu7F01EiWnRHvd1HE4TbY3Sst5P27YgwiRAE5gtJjJmpDBmdgEut5ujs48lw5HJkxsfJeqN07zOR9u2IIpFIFWJYlVIneEhdaobk03vN7ZG4PP7GHNqHkII4locu8lOsi2lMwSkxeCDh1cw48pJ/NcZd/frfe/YuYPHnn2UTas3YbKbUGMqNo+VgmNzOPmUUziz+BwjH/0wU5w+pfc4LyNA4AGqK6t55ME/Y7FYOGHxAjIy0/G1+fn8k8+pr6vn+h9cx+Spkw+a3cMBQ+AHx+qalby169VeNyGBXn66MVSPP+bTM1sUE9FEBCEEJmHujMGHE2ESWrzH/XszX/RXWkJDDau4bG7y0vNx2VyY2k9ACsaDLCo8hWdK/kZMi6EIE2pcJRFSEQooLtH+UNHTJgWCHHM+XzyxgbTZHlKneUjIOFLSaZca06h+vYmkLDffvPLCQVe39Ppb2FJVgqqopKakMi5tgpGPfoTQn8AP6xBNB/mj8rn3wV+xZdMWVn62is2btmC32zn5jJOZOetoo0yBwaDpr/SAqqlU+suJq1FMwgyK3j6aiIIUqCSIJDTsZsfAQfD2eLpiVlA8AqfNSZJj76yhoziZN9JCpiuHumCN/kAxC2zJViQaWucOVF3crYoNu9vO/Ktm8+FTn9G0zUva9HlvpK0AACAASURBVCTsWVakFARKwzSu9+IaYyNrYSonFJ406O8l1ZPG8ZP7zwozOPIYFsrXsU25P4QQTJk+pddc8687R9Is7Uinv9IDjaF64moUs9KejSUhw5FFa6S1PRlKQUMjqkYxCYVEL1/7Xu+9PX+9/bWrlzCHlJJURzoWk4WxyeOp8lcQToSRUu3SDygoOMxONDScZieNrgYmXzWalp1+mje2EWuNYzKb8IxyMua8XLILsrCZ7XxS8f6Q16c3OLI44gVeKhpqXMNkUQYUeYOeSCn1DTOKhuglC8OgO32VHkhoCfwxn+65t79OsiXhsDhxWpyE4kH9gdDuyZuUvjcx7UUXaYHA2kseuRCCZFtKpz3j04qJJiK0RryEEyFC8RA2kw1FUTrtkYA/5sNqtZE71U7OlAxiaowUeyouixunxdkZAhrq+vQGRx59CrwQ4rVB3N8ipbx66MzpxQ4LhGMhRGRYZ3QeVqSiIYZmC8DXgt5KD4TjemqqEKLHBqLC5DHsbNneWUpgf+ZLsdY40qcQTIlizY1hc+lZUF3rnY9LndBpj+I3IbxWHMJM2BFBOLvb01EWuMMZEkJgUkxkOrO6HcYx0NF5BkcOUko+efdTon2kgxdf03fUoj8PfjLwnX6uC+BPgzHwqyAUgbDBIIKaBn1geO77R2/VDAOxAKqm11xPsiV12/hjUaxMSCumoq2MUDykH8bRywJrV4KVEZq+aCPSFMORaSNkiROoD5M7MYuJi8ahemJMz5rZ6V3PkSfy+EuPUVZZji3dgqZq+Ov9uMc6KV5UxKj8Qn0RVmrdwjf7liroinHk3eHF2+zlucf+iTJAZKKtpY3zFs5lTOHgdu13pT+B/28p5Uf93SyEuGe/RzQwGAbsW81wZ8s2VtesJMOVhamXnaEWxcq41InE1Ch1gVoKPAVsbd7cXl4XkHvj794tARo+85K1IIVRE7L0hVOTHS2STPOmVt599CNOumYBp83T88s/eudjlv37TSYtnEhuZgoxGUOVKomwSvkXVax/ehueq5JJy0vDJJTOB3pfpQo6MI68239UVSUcGvih+MbzrxFsaOo3rKzFE/zy+1fhcR+8bKQ+BV5K+a+Bbh5MGwODw0FF6x7e2fMmwXgQl8XNqUVLyHOPYuXnK9mwfT1xNU7eqFxOW3gGKa72WLuU2OtKiORM7Swh0bHxpyhlHFuaNg04FxII7GYbFpMNgYLdbCeuxUgQRyCINMao/8TLmIuzsbhM+LYHibbGUYQJT66TjGNScGe6+fLZjcROiVFbVs/rL79BzoUp+G1NJFtT9i7+eiDvzFw2Zmzmk6dXccIPZoMCqlSRqiTZnkyaPYNgPICmad1KIRhH3nWnvLSCsp17+m0jkax891OKB+FJL545jROvuHCozDtgBsyDF0LMAv4bGI3+QBCAlFJOH2pjDvREJwODDmr8Vfx+1f20RpoBOncVt2z00bwqQGp2CuljUpBI2ioDBBtCnHjmAm664iekecvJ/uA31C++jUh2z7IWr25/oc+675rU8+O9Ea+e0SJVAjF/Z368VbGioVGxvA7FBZqUtKz34ciz4cixITQIlsdQgyrjTxmDd4uPOXPnkNaaRYOjBrU41G+9+Q//32dMmz+Vc047h7W1X1LlryChxfBFfe0tOrJ29BCTzWRjRvasEZ9F8/pzr1JdVtVvG6lJnEjOP3nBgP1NHFtI8hCVHB8y8mZ+pTz4fwK3AZug11J2BgZHBDX+Kn75yV3EtTgKSmc+e8MXXrybfRScn4k9w8rEtLF6rjrga/Tz+XMrqWu5g79NT0ckoqRseJG6U3/aoxBcX3XfNalS0VZGRA1jNzko8BTSFG4gEAt0ZtVEVQ2bYse71Y+ryEbMn6DoW7lYk/Q/QavJhu1EG/7qELteKyNlrIcVH35OdjyfnCuTSLH2v7N2/Jwitn65ndsvnUJRyni9+Fk8gFWxdQsTSCnxRlpwWtz7lQd/KEkkEgOm9laUVvDa318iydN3eCMei7Nk/ixuPb/vMiYjncEIfKOUcjAZNQYGh5yu9dr/uemvxLVEZyojQKQ5RvPaNoouy8HitgCSPa27mJwxDYCkTA8zzprK+w99zFkrTIx1uRid+jmnJ7/N6LlndBurr6PkWqNewokw5hYbLZtDlDWsQkVFTY2RPt2DPd2OhkYoFCYRVgk3xSi6JAeTVa/vDmBpz6335DspXjqakr/uxmw140rzYO6l6Jkp6kPtciqUJ91N1B9lT+tudnt3kGRNwqpY8cd87UPs9eBTbGmHPA8+Fo2xdtW6AYV715YdhOub8Lj6L3+Q7HbxyH/9wNjEOACD+XZ+LoR4AngP6CyuIaV8+aBZZWAwAPvWa48kwvjjejhCk1r7yUfQvL6NlOluLO69v+pxLU44HsKKjfWvbKa2rB7XWAstZkHBfBdrK8K8dt99TJj6Fvfc9QuSXHu9530XX9uirby2+SW8b7bgbagjeaqT5PkOpKbhLU1Q+kItnrFO8k7KALNGpDlG7umpmKx7035NwtRpL4A9zYan0IV3p4+QPYSmdi9aZor6sTWXEk0fh2rTwwXxqIpiUWiLtlLSuIEkWzIp9jQytCzC8VDnxq2hzoMv3VHK2y+9OeAeleb6Jq44czH2AYrhzVkwh6Mmjj1gewy6MxiBvwaYBFjYG6KRgCHwBocUVVWRUhKXsR712lsjHYe5iPZt/PrBFP7dIUZflMXeUrt6SktjqJ66N9oISB8TrsxF8YfY9EwtWflOJuR7mHZMhE8/LudHP/0hf77/Lzit3UMBHYuvG2rWsPPlCkjSmHB1HmaTBanp0Z2UwiTSZ7dRuayR6ncayT05TS/Ta+6wRV8fcJh7equKWUEIcKQ78O7xkTIlrfOa2VcLUsPsq0XN1AW+tqSe9HEpeMN6yeoOj9+smHs9/3WgPHhVVfnbQ08gYol+fyZ2k4nf3fRtTKb+jyA0ODwMRuBnSCmnHUjnQogywA+oQEJKedDOZzUYmcSiMVZ99iXvvf0eu0p3oUmNuCNC0hQnk+cVdwpZx/mkOnpBL01qqDENk6On+LTsbsPb7GXMpdnYZRzpNKPGZGeBX6vFzImnpPPmC3U8+PIDnHHimb0e2bfhy01E4mEK52fRvNZP4wYv0baYnpGTaSdzRiqFZ2Sx69kagtVRbGkWvOv9pEx0YTabcZidPbzfmD+Ob08Aa7KF4xfP473332dUcT5mswVT1I8SD6GZ7SjxEKaoH3/YTM3meiacNZqmrV7q6xoJWrun8imxEJrVSSKmUvZJOe40B6FEBJn6HGvdn/T4fqSUXPONUw1vepgzGIFfKYQ4Skq55QDHWCylbDrAew2+xrS1tvH7+/5Ak6zHNlVQfGYBCZmgvLScxg2NVD5Sy4Ir55CSk9xLbrruyZsdCnFfAlNm9+tN61tJPtqJVVEQcZWoX8XiUOholVBM1MkQnqlWPvtgJYncCGbF0uPIvg2fbMI11saOp6twFFjJOT0FR7YNITUClTGa13tJrNPImJyCb2sIT5IHsxNq3/Qy7qxRCEt3cY94Y+x+pZLkCW7UgMa8+fN4++l3ef1n7zJqSh6WaAtCS4BQQGpEIo1U7Ixiz7DhLreSm2zGHNWwyC6edzwMvlpMSblYLQ5O/e4szBYTLbE2vjPuQuZmDHlCnMERwmAEfgFwlRBiD3oM/qClSRoYdKCqKg8/8Ee86fVkzfOQZEvWQy6xNjx5LlLyk2jc3MJHT33Oad9fpBf9inrpupgIkFTsonVzgJxFVroW9wrXxMg/PRNFjYIQ1K5tw55uIVQRxZxmpcatEROS9CIb1Z80Y1GseGxJ3Y7su3LqdVTtqqGBVnKOTyV5sgu94rsKCJJG23AVZtO4ykvz5jYQcMK8E6mzV9Fc38Lq32xBMSvYky1IqYt7zBfHVeAgWBvBk+rivb+8zV9//lN+9tIjlG6poKjIRFq2C02D2j0B/A0hZpw/hlkLZvLfM65Hkxola7eT1H5mKgBNOyHmApsK6bn69ytVFARHJRt58COZwQj8GQM36RMJLBdCSOBRKeVj+zYQQlwPXA9wz+9+ztKrRnZersHgKFm/mQp/GYVLMrvVZtc0DdCri2ZNTcdfEWLLyq0ce8pMzMJCQnYvEZA2PYnd/6wmZaobe4ZeAMyiWCChIoRKqC5ExcetVK9qJXdmEpu/bKa5MYKjwM6oOSnYk0xIVUOTKtFgjLZqfSF3a2wbv912PzWVNViLFYQdAmURQNK8rhWkHoeXQgEJgaoQalAjnNNK6ZoKUqa6KTouD9WZIOKNIYQgZ34a6ZOTsHhNbHulklt/ejk3Tr0EgFePeogn3rid1zZWUVkbBgVSJ7g46swM5jtSWTr9OlwmO9RvZm76NFY2byTNmgyxACTCYLbpnnwsAFY3rfEA8zNm4DFquo9oBiPwucBmKaUfQAjhAY4Cygdx7/FSyhohRBbwjhBim5Ty464N2kX/MTA2Ohns5f3l72M7ytRjgVBRFLp66Nkz09n9WhUzTppGUcp4dnm3davFYk0yk7s4g/KXG8hdnIZnnIPxnjzqXOU0rm6i9tNWIr4EKVNcWDIsRACL3U6gPsqXfy4nOd9GrDXO9tf2EG+MM+aYbFpibQTiIeplHf42P1nuVGJtcSCBgiRnXgrOHP1hIgVIFKzJZho+b+XmOy6h5osmfvfq3xk9NYdR47IJqxG9trsGLdsCbHxnJyctncWVk87t/Bwubzk3yTjXzpnIFhEnjMSB4ChpweNrA2+F3nDFw1xy3PcpC9ZQG24kxd+ASSj600YoqL4aWj1Z5DoyWTr665sf/nVhMAL/F+CYLq+DvbzXK1LKmvb/NwghXgHmAB/3f5eBAezcs5OUs9w98r+d5n2yWXIcxAMqgVCAFHcK41Mnsad1FwkZJxFWqX6zHqEIFKug/Pl6REJhj6uCoDeK79MWHNk20qd6mPyNTBQgISCM/ggJVEXZ9nglaZOcpChh0haMIVwQxomVZMVJLB6nPLUei0sha2Yq8Xictp0h2kpDtO0J48iy4ilyYDWbSDSpmOx6yevLzjmTjPRU7n/mr2x/u5ykPBeqquEt9+HOcHLt9edw0wmX42rfjIWUUPIymCx4hIm5mCDqB5tHN9RkgZKX9PlyIopr2zLuXPBjnt/6D1Z5y9EUExoJFAFKIsx8ZwFLj7pC9/jrSiB7So9NXQYjg8EIvJBddidIKTUhxID3CSFcgCKl9Lf/+zTgFwduqsHXgdKde0gkEvh9AURlFEu0Z950qDJGxeoy7B79WrA6RMkLW3FaHJ1t/PEQilQ475JFZGeksbRwCeOTCtn4xXI+/uAJPtkWYvmWZsZdVUBe8d4QkJQqJi2Od0OAqneaUOMSk9mEnQCbVmylzRulcEE2mdNSQIA92YpvZ4iKWD3B8jC2LCvuPBsmTeJd7aPxwxY8uQ7C3hiu1L32nX78cZw2fx5rtm3h890bSaAy/vICFk2c3TNs0rgNWivA0W5nNAAteyBtLNjcYHVD03Zd4JPywFuOq6Wca5uauCjmZovNSli2e/yxGJ7mJjDZoXE7rHgYFtwMWZOG7odocMQwGIEvFUL8CN1rB/geUDqI+7KBV9pTwMzAM1LK/xyQlQbDmoA/wFsvLkNT+4/A1VRWM7Ugl8y0FFKtVuo2NOIq7lnIPtOWTPrVTqIyTrgyStQXY+6lk0m1JqFKldZ4gFx7BndO+c5eLxhASqYHVjN9Uhar15Vz3KV5bPqgmUidSu7MdBypNoRMUPNOPY2r27C4TRx1XSHNq7yMne0hYbMRbbOy+/UaEhGVjGOTSMp1EYpFqPvYS+6iVLLnpWBJMuHRJJEJCco/aaX8o2Zyj00jJS0Zh2nvQSBCCGZNnsKsyf2cQtbFe+/0sv16HjyBWrBN0N8Pt7VHrvL0tmufhLAXjyONuV1LpFlt4C3XHxolr0AiCptfhsy7DC9+BDIYgb8BeBj4H3Qf4T3aF0X7Q0pZChgnCYxw3nrpTaoGqMIXaPNz+zUX4x5g+7ndZiXJo+eYFxZm8u2H7mHcvDws5p4ir0qV6lA9u1fXkDbDQ0yL0xJrQ0EwP2MGS0cv6S7uoHusreXgSKU8GKVofDpj8hys3Rpn8zNlKGZBPJTAVx6k4IxM8uZl4LKZqHu/kUaTGSkl7nSFSRcXsvnve3AXOcgfncmat7Yx+6ZC6rcG2fVMLcIiUCQITZIxzcOiHxWy4o+VTLqxqDNrRUrJjt3lvP3R51TXNqCEm5k47ViWnHQ8OVkZtDeC7W/pYmyxQygK8YgenlFMEPFDW3shrUREF+h4ECwuqN8Crsyeoi2E/gBY8ySEvODJbRf87YYXPwIZUOCllA3AJYfAFoNDQFtrG60tbf220TSNV//+IimOgWuFz506iR//5LqhMq+TedOmMyGvkBX/3sQJ5x+NYup+opeCQnB1DHPAxNkLT+Tkgnk4TDaOSh7Xe2bIPp6wYhHEYxqZSVYWHu8htmQmTd42tizfgzJfkD7bg1WxEmtqRrEIEqJ99pGIYPMkkzbNQ6AkgiNiw5Vmo6U0zPiF6Wjzk/GHNFLRyLQreBBs/CiAJ9tKts+Gx+IiEAzxwJ+epL6pmSWLj+ekyRloa55itS+PW37xexbOO4bvfOt8lKYdsOlFmHg6JOXrn2Hzv3U7zHZd1O2pdB6GY7aDYtVFXotDtA08vdSCt7qhYQu4MvYKvuHFj0j6O7Lv+t7SGve3jcGhYcX7n9FQU99vm3giQc223cyZPrn7BSn1euFdtpv/9NuXkpeTeTBMHRRCCP56591c8IubeePPnzF53hhyitJAUWit8bHryyqC4QhnXbuAO2d8p6e3vi+N2zq9d4CjCj1s3xEib2YqxMNYZYyctHS+rNrKyefMopp6IvEQzTuCJBXaMbcvQ0mpEU+EyJ2WTtXLzbSFgpx9RSHvvVlFSUWE3OkubHk2PHFo2xxgzaYAItnOkgvzUD8qJxaNcffvHmVC0SjuufUG/TSfD+6DbBPTM1tYetl/86uH/x+PPv0iN47aBVLV4+9HX6Z72WpUF3shdMH317TH3ru811oOirnd2w/ocfquxIKQiEHEB64sXfANL35E0p8Hf6cQor8dqAK4ifYUR4ODQ211LS/99Xmslr4PVY1GosybPJ5L5x87YH8FS89BURQ0TWPlmk288s77fLGlhISmkpLk4dzFi7jg1JPISEsdsK+vjJRQv7nPLI50dwqv/Pz3/Pix/2X586sINIX0EgBJNsbOz+OGay7g2mkXDJwN0ksc+8rp2Vzxzg7GjHFR8mEDO9fuJBSURANRmivamDC/gMyZMWo3BCg8PR2zpL2MgSA1HiMjYxzlsQZQo6S6E5xzUQ4lewKUbg4S/qyVaiA508K4E1JYkmnilKCVn/nq+OBff8Fht3L95RfqJQoa2h887aESV7CCn/74O9z44zs5c3Ybo/Nzu8fMu8bi9429g+69xwKdO13xloEnZ29mqQT8dfrrWEBvb3UbXvwIpT+B/wj4xgD3vzOEtowINE2joa5hwHarP1tN5eYdA1bXsyomfvOjb2O32/pttz/EYnHuefgxvqwuwTbNzLgT8xAmCLVEeXrt6/z1rVd56OZbmTf9IG9WHiCLo7XNzz2/e4yipAL+9ZsLMbtqiG57mUbPQnZvT7D27zs499ZWXJa2/rNB9s1CAWblehjnsfH3n20he5SD48/JZMLc0bzxyFpGH5PPlk+rWfe6j4kLUzg9WWWhL8LHditlVguZmqS1oR6bXRANR4iQgt1t4ZixkoLxHsZqCieoJhwSjkoIPLEgW1OPISnHxJtvLuOqG36ii/u+D552kXUuvJPTR0V5c2uAGwv2iZk79xYdIxoANa7fGwvqnrpiheRRe9vEAjB2oe7hA/iqYdsyXdRBbw+GFz9C6e/IvmsOpSFHOnU1daxZsWbAdlvWbuLosaMxD1Bdb2pBLrfc9YOhMm+/+M1jT7GqbQOF38wizdGljkse5OdmsmdXDd954Be8dN9vKS4cc3CM6BC3fbI4/IEg5VW1JBIJ/u8fL3H8rBlcfuFZugP6wX8gqkJSNdxwFx+sWM3Pf/t/PHyKgqevbJDeslAAf1hl1xovhePdJGyCtpY4letKcSWZqVhfhdMJmWPtVK/xccNMSbZVYXY4wv3pydSaLVSs2s2oIgeRdBdl6+uZMCeNVpOZAmHlZpGKq2PNwAaY7bzz2XrmFVh5eUWMmepakGd0W/QF9orszuXMywrz4Lb43ve7xsw7P0Stvtja8W/reDBbwZyxt43Zpm+COvoy/fUH94IzXc+h70rHA6bkZVhsePEjha99tXwpJc8/8Sy+Zm+/7RKhMN9bes6Ada+vOWEuqSk9y7MeKVRW1/HGmo+Z/O3RZDp7hmFMwsT4CaNonRXgnmf/j2fuuP/gGNIhbu2hidotK3l+RSkr125idH4udZW7WbW1kuyMNLbsKGVKarxbexq3s/j42Wz44lPeXrmCb84f17sH2rSjexZKO39+p5Z8j4nXvzOOJ9UYr273UlYdRXWYaakIsvCKbE5PkvztoWqeWhXh9hOcuCTc2dTKnxJ2PtwR4LhLPURiKax/tZbk8WYWJaewVHpwoezdiATs8iqs3FLG/56dzes2J6K1Qg/NbO4l5GKywJqnsFhcJDSp9yPpHjMXAgIN7aEYk/4Qi/p179zSy8J441b9e5Baj5lMN6xu/Ts2vPgRw7AU+IA/QCwaG7DNC489Q+oA5yfG43GWnr6QuUf3k4s8gnj1/Q+xT7KQ5uz/IXTUrDG8+cfPqfc1k52UPrRG7ONV72pOcM89D3D2ZTfy2P/+D0nhKu75r1u59CdXYE4fw/2P/I3rJgc5Mb97KIOMOzkru4EHVvj55vF9ZIM402HWtT1MeOGPD/KTpd/ANWMW39c0roz8kS1FVsJmGxuzE3zxSg0zZtv49kwbj3wR5fYTnGiaZFN1gpIvmnjkWCupcT/h9HGsntzCxmcqOeasVJyjhC68LXtQU4r4vCrB/31YyY/m2MizhVAE1Acl2e156jjS9vlugHALe1rM5LiEvqFJMbcvmob1UAzoHrsrEzo2d8XDunAfdV7v3rcjDb54rMdMphuGFz/iOKIE/qO3PxpQuJsbmmmrrGZ0Xi/pX11QFIUHb7thwNzrrxvr92wneZy7l/K63XG6HdiTrKzYs57zZ5w8tEZ0CU1E4xq/Wl7P9+Ylc9xxo8Htgi9fpqIlzPWyhNwTLmZicpz/+tndjLloCoU2uoUyxtuaaQ5DLKFh7S2O7MqAcYt7mFDvu58zL7keUpNh+3/wxMLMNdshFmbRKMkXipW/b4jRHNbY1azy0Iogm+pVUh2CH84xE1U1dq1sRdh3cII7xpxpZp54dzsJFCYlx5FanI0N68lM9XDnCW6menygxTh5rJ23toW4ekJt73nqgToQJt5cX8U5k52gJfRiYSb73kVTKfU0yHCrnhop0D33sBeS8yGzuPfvvJeZTO8/n3aPv7d+DIYVgyk5YAMuBMZ0bS+lHPKyA6OQFBTm9dvGNn4ME8ddMNRDf22Iy4EPNO5A0yRRLT5ww/1hH+/94x3NjM10cNz4VN37nnI+tJajWJ1orVXQsI3C5o85a1o6yzY1cePiwm6hDBypSAmKYD9zugUJVQVN0/sRJj3zRDGBYmFOPszOM/Npg5vle+qYMjqDs482s7UhxsNfNlOYJJiS60TGwry400pTUOWK+bnkTppF1br3UCwOzj9GZcz886DiC4jooZOzCuu59T0/s92CKaP2yVOPBiAe5vUdCdqCMeZkWfUYegL9QWW2Qbj95CpHbs8FVNBnLL3Rx0ymT/rqx2BYMRgP/lWgDVhDlzNZDwZLFs0/mN0bAEWFebxXVgkDRKRCbRHioQT52UOcC79PPvr721o4f2Z7LnZLmZ4tYrIwPsvJhtoY+e2hjNNnFHDjP7fy3YWjUBTRGcrY5LWTn2rD3LGoOchskFF52bz05nvcONeti6a5PXbdWWZJPzJvQ6NgQraHU+dO4ekVNXxR2sS9pyYzKsWke9fCzGVWNzvjOTzwxg7O0zZw9tGFevw96oe6TfqGJE8etOwmx61w65wE934S4RvFGqfN9pLWnpJaXlHBayUhNtQl+PUiK2ahwv9v777D46yuxI9/z/RRt6pV3ORuLDfcbQwYYzAlQIDQE0iyJNlsNmRTNpDfkk0PCUlYSIMACQkEQseh2JjYxtgG946Ru42behlJI027vz/ekS3ZasYaSx6fz/PMI807bzkjy0d37nvvudjA7oJgg1Vnpq7UarEnZFgJv3mMfGfdKe18klHxrSsJvsAYczo14VUv8tnLr+bpb7xJ4+wmPN72h17uXP0xeedlMC6rG2+2tTGipaIuSH4fT3SSTghKt0P2KOYVwR+XHuCy3G2URvqwYF8jmw/6+PazWyjsm8pl+fUMSbEzf+0Brhg9AHwlkJTdtX5kY7htzjieen4+X7I1WRUrmxe9NiFrcpEIkXCIv35whDun5VK89yCLtx7lobkuUl1YyT0cAFciBP0MTRd+elUO9zxfzPkDJpPb3JXUPPol2GD1k9scjMtu4oFLE3jtoyb+/a9bSE5KJBQKEQn4uWyok19f6iLFFbHiCDdC803byj2tSxLo0EbVia4k+JUiUmSM2RLzaFTMFeYWMH3KWN59bgOzb52I033yr8DHW0vZvekQ//FfN3bvghBtjEd3O2w0BMJW8m+stUaLBOopKkgi0ws3P1eOw1HN7LEDyU22c+vwALv9jfzknTLqg0KaB76V74eqEivxJWV3PhqkrJgv5mzjLzWlfOG5Wp64PpNjhRDEBg4vkUiEu171EzHw+U9dwO9X1XPNnMGkphZbtV7qSgCxunaIgO8I2Q7DnEIHCzYd4q6LBh+fMeqvsd6b2KyH3U1BHydfvXQAX/T7qMy7GLsnhfRIOQ6bIobb/wAAIABJREFUwME11rEOFzi8YHdAoMHqkmm+sWpzaZkB1Slbey+IyBYR2Yy1ZN96ESkWkc0ttquz1O++ei99szN4/Xcr2L58L77yBvy1TRzdVcGK5zaxduF2LvvsVL449obuu2g749HH909mxc7q6KxKq4WL7wgCpNkaOFpnSHVBja+BoiwYkGoj11ZFdpKdkroIXqcNR/1RIGIV3jKmdSv+xPsN0Tg8NPHqp8NsLQkz6fel/HJZDdtLAmwrCfHLFX4m/bGS7eUR5t/WB0/Jet7fW8/F/bG6Rpxe64anwxNN2nYr/kA9swd7eb+4JFpG4Ij1fgL1x4c0is06zkTA6cWdkkWuVJI9/RYcF/wnDJ1jnT9zKPQZaPXRJ2SAJ836+XjSov3xbUxQUuoEHbXgrzpjUagzKtmVyEvf/TUPL3+Gf77zLsVrDhAJG7wpLgrGZnPH567k9mFXd17f5VS0Mx593hA733rlY67Jr6CPK2zd5AzUsXPfQbYcbuDtz/VhW0mQe946RIobvrmgiX7JhquHevjRRW7uX9zAe/sNFw9yWHVaqvaCJzoEtGy7VY1x+Lzjf1SaR/A4XBQkhnj/i8n8bXOApzbU8dgqazm+ghQ7/znFxW1FbhwOiNSV0lQeIKXOa8VfVwKRcIs3Z6yWOpDmdlHfGICGciupY7O6coRoN1A0jkgYqvdBUs7xUSuZw9r8IwgcG11D3VFrxuqJY+d1aKNqQ0czWfcDiMjfjDF3tHxNRP4G3NHmgeqskOjwcu9FX+Q/ZtzChzW78YebOq7GeLraGcWRC1xd8y/uX7KS+6/oT1aK1TJ9a1kFV4zLg5RUFq4r4fKhAe6bnYEt3GC1gD1pUDCRa0vm89KWeivBi8OaGTvmFivR1R6yqjGmF1pdNS0/Rdhd4M3A4Urkrlsncddt7SdGG5CwYjMVQ68mU2qg+A1IapFkg37rHoAIZYFUUlIMOBMgrb/1Wl2pde3m1j9YzwN1UHiRNQomIaPNLizg2Oga7M7jY+FbFhDTCUqqHV3pg2813kJE7EDnVa3UWSHZmciUzBjXnIH2R3EYw01FK3DX5PC1V0sZ3z+ZiQNTWVTsY/qQND7//BGmD/Dy5YkJVnLHZiU6pwdcyUzKFX72boRQRHA4xOqrDgesErtLfmbdqGzuo25ZGkDE6gbxV8HQS6nx5PNxtBpnv7wcUqMT5Kqqazl0tJTBI2H+jhCfz9l/8lT/8p3WiBZg0fZKZo3Ms26+OhOgYZf1xwSs5JxacPy4E8sIrHq07da778jx/nuxHS9LoK141YmOygXfC9wHeEWktnkzEEArSKruUr4DKS/muqIk5g7zsmSnj027j1JS6aOP3csj1+aQacohbKzCWq5EqwxuOASb/4HdJtgFwsaGw0SsPu/1T0Fqf6sLxJVkTQ5qpzTAvuow//j5T9ngz7MqNzaUs78qyICCXDBw4PBR+uf1pbpkP8+8OJ/9Y5184eIh1oQriPa9W/3r+yqDLN9dxyPnR7tomhfnEHu0IFh03+ZCXy1b3iJtT0QKNkFjjfV6OLo91Ai+Q8eHdjbTCUrqBNLZpBcR+Zkx5t4zEs3hDV2bgaPiR325NVa8pcMbue+3L3D13IuYNmGUVf2w0WcNTXS4rRuUJgLBeg7WCt99x8/frk9CMMf7uTOHRrtHSqx+7qSs46UBogl+44FaHlywj8+MTeSSO+8j0euB5b9mecIVfO9PryMIP//e15ha4IL3fsWL2wL8Ycl+3G4XD1w/lKJ+KRAOEPHXsmp/Pb9/r5QvTUlh5nkFMPIa2P6qNdu0xVqxuJOPt+jB+gOQnAeT/w1Ktp7882nyWd02J0rrf3LBMIC+RdanJXXuyBvf7ke2rnTRvCAiE07YVgPsN8aETiswFV86qe/ephO7biIRWPUYlw5x8ua7q5k2KAFj97D+UAU7Kw3G1FGQ6mRqTiNOO7y1s4m5gx3R8rtYiV9s1iLUjqTolP4qqC9rVRqgqj7ILxfs474rCzkv08CuN0CgvLqePzz7Zx79+W8IhSP87JEnGXG5i7QmHzf0qyXvilweXlbKp3+3nn+bnonbIWw+5CfNa+ebs3MYV5BgXc+Eo8ndw7EVlwCaajlJ2XZrspVORFLdrCsJ/vfABGAzVhdNEbAJyBCRLxtj3u7o4Gif/VrgkDFGR+bEs07qu3fJzrfBX8mMwlT+vrmM3zy/jG1HGklyGSbkubBHmlhY3MSjHwSZlGdj9aEwD82L3hRurrEeCQEGgnVAxLopKbRawm7h1nKmD0njvPwk65jyYhBYuN/BrH42RqQGIHsEU4Zm8/aqFXxmaj/wCdPnXMm06/K499E38DnsjB9byFV5GQzOP6HVnJKvpQFUj+tKgt8HfMEYsw1AREYB3wZ+BLwMdJjgsVZ92g703hq66vS1U9/9lLSoC+Oy25g9yM79Syq5ZYyXuycnU5AYAuOisiHMM5sj/G5NgFuKHGQlcHz8uzEcazE3f8A0QatV32IJu8UfVfKdywcev3ZTDRj41/YI91+ec6xa5bzsEh58v47PzHRbSbj6ADLuNj5390B+++d/cOnNX27//WQNO7X3r1Q360qCH9Gc3AGMMR+KyHhjzJ7OaqOLSAFwJfAT4L9OK1LVu51Q3/0TDdmLtt6xuymvbWR+cZBXb/Ky7qjw3QVVuG0R7DaobTLMGuDgtZu9/HJlgC0lIYpyDBihVXcIYDXdjdV1EwkeW8KuoqaOfp56aPBbiT/YCECFL0xBdvqxapUFtnIq/NFztphUVJDbj4qqjhcvV6qndSXBF4vIH4Dnos9vAnZEq0x2VmrwIeA7QLtF2UXkbuBugEcf+B533359F0JSvUo7S8+dUiu+ZVVHDAuL67hwoIvzsu2cl23j1vEplPmaiAAZrhAehwFsXDcS3txro6gw2+r3bqyJTkJqTvRy/KvNaY0fL7wQV2aYhuGfxp3khQ9ftXZxenE59uMPGpKj1SobIsm4HNEJ3y3em3/0l3C7Ol5uUame1m6pghbuBHYB9wDfAPZEtwWBdu8KichVQKkxpsN17owxjxljJhpjJmpyP0s1t95bDv871enzOxdarXebAxNs5P2DQS4eIDS3wB0EyO2TSH56Ih6nHbCBK5GLh6bwwcEwps8ga1+7i1ZJvbmUgGAlfocXqg4wfsoslpcmQUqu1a0UnWw0YWAay3dVHatWuXx3HRP6t+hdjL635e+8wfjROhxR9W6dtuCNMX7gV9HHieo6OHQG8CkRuQLwACki8rQx5vZPFKnqndqqMXOqrfhIhODqv7B8b4i3dvnZWdbEusMh6gKGa0c4mVPoIMkVsMa4m2iVRayZoAk2B7ZIiKayvXiCNcdvsFrBHasMad18DVizSiNBrpgwmYdfXsalEYOnRexXjMnkD0s+5uJMByZk4/UNh/jG1UXHYxWhPmTjjfmv8t8//nV3/zSV6ladtuBFZIaILBKRHSKyp/nR2XHGmHuNMQXGmIHAzcBiTe5xqLm+uyup9fZTaMX7Ns3n3vkHWbQnxKeH2/nHDQlcM9zB9SNd7Ko0fO2tRg7URKxx38l5kNwXkvqCJ5XanKmQkou76BoYdIE1EUocVrVFu9uaDOTwWg+bE5xuGHYZ5xWNZXR+Ej98bhW+yPEJQ2MKkhme6eD+BWX8v3/VMzZHGNligEtNQ5AfLChhUq5hWHJjd/0UlYqJrvTBP4HVNbMOCHeyrzqXtFMhEujy9HkTDvPjBx9hRJaTL0xKQoINgOHCgQ72VIX51nQ3S/aG+d7iJr42tYzE/Cxy0/qQnuSCJh/vfFjJzMuvR8bfCot/YhUrc3qt1v6JIiHrUbkfScjgP0bX85cjCfzbUx8yY2gaRfnWrSJpqmXJ3gAiwsA+HpZt3kskOZ/NB+t4f3c1V4zJ5I4JyVoaQPV6XUnwNcaYt07nIsaYpcDS0zmH6oXaK47VrAtFsDYu+Ct+fwNfuCgRCdbT3L1yaaGDr7zhZ+WBEFtKw2wrDfOjJT5G5hfzcYOT0flJXDoyndc+2M337rvBmqJ/dLM1GkbsVlfOiYyx6tQc3QS73sFWUcznp6Tx6aIkFhX7WLPjMIRDDEoIsOizyUQMvLMnyOo9NeCJUJidyKM39iXVa7e6e7Q0gOrlupLgl4jIL7HGvB8rkmGMWR+zqFTv11HrvVkXWvELtpRxxSUXIoMS4NA664anCZOaaOPa4SFue8XPXePcPHFjXx55v5YHZttoTBnIn9fUcNvjW7hrahbDfO+D54vWJCaHu3VpgBMF/dYfpLQBxyYipQE3Tou+fkJpgM80l9VrrzSATlBSvVhXEvyU6NeJLbYZYHb3h6N6A2MMxbv3sXX7LkKV+8keXMT0iePweFos8ddOffc2ddDS3V8V5PY7vg7FT0JihlV21+ahMRjijV0hfniRh02l8MiKajYcDvDQygh7qrcQtHv538tzeHpNJX98bQVpG2vp33SIyUPScZw0Fr4Fp8cqJSBoaQAV97oyikb/F5xDthXv5rFnXsbf2MjUIVm49i5ixcelPP7sa8y7eDq3XjcPu93ebn33drXT0hURqNht3ZA9tqydsHRvgKGZbu6YkMAddie7Kg13vlhBYUFf5pwXoTprMn9dvp9woovV1U4udm3jn4E8Ht1puGn2OOZNHUGHE/G05a3OAZ0meBHJAX4K5Blj5kVLFUwzxjwR8+jUGbVxazEPPvpXvvq5zzB1QhGy9OeQlgRZUFb0LR5+8jl+9ejf+PZXPoe0V9/9FBX2z2fj28/Sb2AoumSfE4DFewLcNCbJWpouEiQUDjEq28Gnpg7h7Y0f8483V/PtHzxIeloK93zlC9x+RR8kewD7h9zJg4/+jUqvn9uvv/K041PqbNaViU5/ARYCedHnO7AmPak4EggEefDRv/Ldr97FtIljkfIdrUoPZEVK+Z97/o2SskoWL1/dbdedNz6fNz74iHBtqTURKRKEcIDyuiAFSdHyApEg/9zq44rBNsoqqnhqdRU/mZvKyLQAOZQT8NfR5M2Bqv0McNfy4+/8O/9avpqPdu3ttjiVOht1JcFnGmOeByIA0RLBOlwyzry3aj1DBvZj9Igh7ZYecDkd3HzNZbzxr+Xddt3zisaSO2gEj6wJEk4pgNR8SM3H5U3C78mBlDxeKw6zs8pw6dh+LPyojtkjM8hNT4StLxHc+AIhAy6H/VicqclJXHv5xbzxTvfFqdTZqCsJvl5EMoiOXxORqVj14FUceX/dFmbPmGQ9aVF6wBjTatLS+WNGUlpRSXllVbdcVxIz+e9LcqgKublnfjkL9xjKw8kMy0/nqQ0N/M9bJby1o4kfzU0j0dbIyj0+Zo9Mt2IqK+b9dRsp6peGzSat4pw9YxIr122iswVtlIpnXRlF81/AfGCwiKwAsoAbYhqVOrOMob7sAGnJs4iEw6x59U+8teYIW47uJxgMkpOWwKXDErnM/Q9Sr7iflKQk6ur9ZKa3M/79VJTvwFOzk/+9PJsNB/28ue0If1+xF19jhOLSRh64NIG5kxNxOa0l7+obDWle69c21FDNKxuquXHWKOtcLT5tJF90L6FQmHA4jMPRlV9zpeJPV0bRrBeRC4HhWIPLio0xnVWRVGeTsmKSyzdwdNdoXn35BSq2b+PaSf35zlwHrpp97DM5vFXcwFcfe4//TltEda2PlKTE7rl2dDSOABPGwYQWS8I89crbLF63mumj8khPtH5Vkz1HKa8LkoCfXy2tJtMDU/Nb/BpHW/HVe9bjcjo1uatzWrtrsorIpzs60BjzcrdHo2uynnnGwJKfsWzVen6w2Mfcomy+OTMFhzcZKnZZqyG5EiFjCOt2HeW+148yZMKF/O5nMV6m1xjM4p/wj6VbeXVLLZMHpTJhQApLP6pkR0k9BHxMzXfwlSmJON0eaw3WZk0+XvgwwpGsmfznF2+NbZxK9bRPuCbr1R28ZrBmtqqzXbS/vSA/j30lq5g1JxmHN99K7EG/VbAr6IdAPecNyMIE9+E19bGPq3wHUl7MzeOTuXJkAu8U17Jmx2FMMMK+khoevtzNxAIPiFVVkkDdsYJn5U0uXl+9hfv/302xj1OpXqzdBG+MuetMBqJ6QIvRMu98WMmXJyXw23eP4rOnMTurCkd00hFiY9/+A/x2g41LRqaxcedmGv2NeLyezq/xSbWYSJUMXNc8n9oY5rz2Fx5e9jFfTUpj8oBEa0KT3YUxhm2H6vi/d/Zz3bhMBtesADNLi4Gpc5Z2UJ7LmkfLePuwv+wANxbauH6Ehyc27eVvFQ1MzHfhsgt7q8KU1IW4dlw2107I4ivP7qVs13r6FU2PXWztTaQqK+aCAkPi7Dz+urqCx1eWMzbfi01K2F7SSDBsuP38dC4cmqTFwNQ5TxP8ueqEse4idkxiXwr7Cj/JqeNgQyZbyyEUMUwc7mR8juBISodR12IWvYgkdMMImk8i2rKfAIy/0rDzYDm7D5VjDMzMTqWoMLd1iQItSaDOYZrgz1XNC3VES/0W5iSxuUIYPzAF6sso6FtAwcAW1RONAX8VpaFEfPY0svsN6Zm4W7TsBRg2BIb1TCRK9XrtJvgeGUWjzow2Sv1ePjqT77ywg5sK6/CIHeqOgqdFgo+OMX/juSeYPf1yXJXFkHOe9m8r1Yt1NJP16g4eV3VwnOrtmhfqaLHMXl4fD5P7e/jF4nICxmGNnGlqveTu8v1BlmzcyzVDIrDy4VNbVFspdca1Ow6+R+g4+NgzBpb8FHxHWi9gYQyh0p08tKyCXZURrhzmYlphMq7sIewtb+CtLeV8dKSe+y/vS6G33mr9Z4+Ai3TJOqV61CccB3+MiFwJnAccGxdnjPlhJ8d4gGWAO3qdF40x3+/K9VQMtbdQR6gRR7CWb05zsq00zJs7GnlhSx0hWzXZqW7mjkjhP6fnkCBN4Cu3RqY0L6rdznJ8Sqme1WkLXkT+CCQAFwOPY9WhWW2M+UInxwmQaIypExEnsBz4ujHmg3YP0hZ87NWXw9EtJ28/Yam6Y1ouVWcMbHsVGqsgMRvCTZCSp614pXrSabbgpxtjxojIZmPMD0TkV3RhFqux/nI0d+I6ow9N4D3tdBbqKP0omtTzjxf20la8Ur1WV8oF+6NfG0QkDwgCg7pychGxi8hGoBRYZIxZ1cY+d4vIWhFZ+9jTL3U1bnWmtbXIdovqjfSmezlKKaBrLfjXRSQN+CWwHqsV/nhXTm6MCQPjose/IiKjjTFbT9jnMeAxQLtoerMTxs0f06IGu7bilepdutKC/4UxptoY8xIwABgB/PhULmKMqQaWApefcoSq57XVem/W3Irfqq14pXqbriT495u/McY0GWNqWm5rj4hkRVvuiIgXmAN89EkDVT2ojXHzrbiSrNa9jotXqlfpaCZrXyAf8IrIeKyZ4QApWKNqOpMLPCUidqw/JM8bY14/zXjVmdZR671Zy1b8xTqiRqneoqM++MuAO4EC4NctttcC93V2YmPMZmD86QSneoH2xs23Ras3KtWrdGUc/PXR/vfY05usvU974+bb07fIGoqplDozTnMc/AoReQLIM8bME5FRwDRjzBPdFqDqvU5n3LxSqkd15Sbrn4GFQF70+Q7gnlgE88IbS3jxzSXU+uo631kppVSHutKCzzTGPC8i9wIYY0IiEo5FMLaBUwgFQ9zz88fJSU+JxSW6hTGGS6aO5dKZE3s6FKWUaldXEny9iGQQLTMgIlOBmlgEM2zkaABGjXk4FqfvVvOffZKFq/7a02F0yB4J8L0v34zN1pUPaj3D5XTicjl7Ogyl4lJXbrJOAB4BRgNbgSzghugomW615WCN3mTtRh/v3c17b8/v6TA6dPjAHq6YXkRiLBfwPk3JSV4unHp+T4ehVNs6uMnapXrwIuIAhmONhS82xgS7L7rjNMGfeyKRCB9u3kivWpfgBIcO7GH3+mWkp/XebkOAb9z5abIyemitXNVzTifBR+u6/zswE6ub5j3gj8aYxu6METTBK/VJ1df5ePp3D+B19d5llkOhEFNHD+L6yy7o6VA6ZLfbWy/c3tudZoJ/HvABT0c33QL0Mcbc2G0BRmmCVyq+LV0wn707tvV0GB1qqDzCZ+ZO7+kwOjSofz6D+udbT04zwW8yxoztbFt30ASvlOpplRXl7NnZu+sqrV++iAQasdvt/PRXvz2tiU4bRGRq80pMIjIFWNFdgSqlVG+SnpFJekbvno09ceqMLu3XlQQ/BfisiDSv59Yf2C4iW7AWbhrzyUJUSikVS11J8FrDXSmlzkKdJnhjzP4zEYhSSqnu1XunOCqllDotmuCVUipOaYJXSqk4pQleKaXilCZ4pZSKUzFL8CLST0SWiMh2EdkmIl+P1bWUUkqdLJaViULAN40x60UkGVgnIouMMR/G8Jqqhe/P30p1Q+eFP9MSnPzgU6Njfh6l1JkVswRvjDkCHIl+7xOR7UA+oAn+DKluCJKR5Op0v4q6wBk5j1LqzDojffAiMhAYD6xq47W7RWStiKx98Zm/nIlwlFLqnBDz4tEikgS8BNxjjKk98XVjzGPAY6DVJJVSqjvFNMGLiBMruT9jjHk5ltdSZ4dIJMK2TRt4b8nb7Nu9i3A4RHbfXKZfeAmTp12A29O1pftCoRBbNqzlvcWLOLh/LxEToW9eATMvmsP5U6bjdHXepaRUvItZghdrSZQngO3GmF/H6joq9o7U+Dla0/kCXoaOP4Dd8od3OfLus0QCjSQOnYx76C2I2CiuOsSCJ/5J8Fd/ImPW7SSlZ/PMF6e2e577nl/NpvlPAJA5ajpJk2cjNmFbyX6W/fkVAg8/yaDL7iQ7O1tv+qpzWixb8DOAO4AtIrIxuu0+Y8ybMbym6iaNjY1s37KRYCBAY1UlKVm5AJhwiKCvAhMJ40hIxe5JPHaMPxBu93zGGI4s+wfupFQyp3wWsdmPv5g0jLR+w/DtXkf1e08jl9zd7nkikQib5j9BVsFABs24uvXSauljGDRyDIc2vsuRxU9hn/eVT/4DUCoOxHIUzXKsRbrVWaS05Ah//M0DvL9sCW6PB4fTycGDJbj79MXbdzChhlpsLg/icBGqq8KbM4iUkTPwZPXv8Lx7dhYTqqsif/btrZN7C8mDz6ep7AANu9cCc9rc58PNGzGR8MnJvYX8cRdSe2Qf1bs2AO1/ElAq3vXeFXpVl7U3Tn1PeT17yutbbWsrJTbnySt+9DxHX/oRzox+pFz0NRx5IwgD2ZWHKZv/AP5N/yJx7GWkXnQnNoFIsInGA5s5vPTvJBXNwTOg/VUcly9ZROKQie0m92bJw6ZweOkzGGPaTODLly4iY+TUThdFzi2awfYlrwDailfnLk3wcaC9cep7yutbJXQD2G0nJ8ZQxBCJRCh57QESCyeQOedugtUlNO1ZgwmH8G1bSuqUG3H06UvZyz9G7E4ScgdjT+xDYuH5eLILqVj6F2zJJy9zdmDvHvbsKmb1ymXQZwomEu4wybvT8zDBAA31dSQmJZ/0+qED+0kaNanTn0lq/mAaq0uJRCLYbFqRQ52bNMHHuRNve0baWGRdgH8teB0TDpI8bh4VS54kXF+NO3cYoboqQjUl1G1bjIhg8yTTULwcZ0oG/kMfUbPudRKGTcM7bDr+nauAmwDY+dGHvPb8M/hqaxg1Zjx+v5/6yrU07lpF6qiZJA+b0mkrXCl1ejTBn0Xa64o5WNV6lIvDLgzvm4zQusUeMYZkj5Ma/8nnuP/B3+MuGEnlimdJHnMZ7n7nITY7NateImn0HPz7NyF2B97h06nftBBP4SQcyRmEasvwrZ2PLSmdpiM7uO7hxTSUHqB2zaskjb8S94DhbPTZsKWPxu3JwpU1kIo1r1JbVUHy2LknxRGsPoqxO0lITGrzZ5DXrz/rdxdTGfZ2+LNqLN1H2NtHW+/qnKa//WeR5q6YEx8Om+B02I49QuHO54sJEG6ooXr53yl5/vs07N9EQ/H7uPuNwZU7DP+eddR88AINOz7At2kBSWPnkj73KwSP7CASaKR6xd/xbVoIJkLy1Otp3L+JYNk+apb9jcq3f0/K2Lkk9R+F027HGCgcPwP/7jXYkzNJm/VZAkd30HR0FxKNRQDTVE/tiucwoQB/evhBXnv+GUqPHmkV94yL5uDbsRqHvfV7PvHh370ab+HEWPwzKHXW0BZ8DzrVIl77KurZe8JNU4h2wwRPHqJosPrXW2puvVet/Ad1mxbgTC/AO3gigbJ9Vot9+TPULHuKpDGX4R18Pv79mxGHk9rVrxBpqMaVPxITCeHOH4WIjfI3HiLir8GVO4JgxceEnF7sqTnUbnmHhoMfkjLpWmxODyl5g7AnpOHb8CbJE64kYfhM/LvX4Ok7hIgxNGxfhm/jAkywibQLbmOlP4OGVQf47dNfIylvCAUzryM9JZHvXzUBRKja8DZ9xs9ts5un5qP3CVSX0GfC1V36d1AqXmmC70GnWsQrYsDRzk3SE2+mtkeAqpXPUb9tCVnX3oc7dygA9duXE2mqwzNgHCbUhH/PWpInX4fd5SUSDuFI6oNj8CQaD2xFAE/heAIff4gjIx9n2kSCZdba7KaxnpTJn8adU4hv41vULP87abPuQERImXoDNe8/T9WSJ/EOmkDg6G5Cfh++9W/QuHc99tQs+lx4J46ULAoH9gHGE7lgHjuXvEDpe88hF96GzWYjfeat1K58lqPvPEnK8Kl4+w4GsdFYth/fjlUEfRXkXPxZQs6uzYpVKl5pgo8TxhiCFQfx715DoHQPH3htVEc8eAeMwzNwHDZ3AgCh+mrqNi4g6/r7cecUHjveldmPum1LSL/sq7jzR1H20g+pXfkc4kkmsHs1fW75Gfa0XOo2voXNm0KkrpqG4hWkz/0K4k6i7Pn7sbkTCDfVYfMmIzY7yeOvpHrF3/Hv2wiD52JzekibeRuBIzvw715LoHQP5a/9nFBtOamz7iBh8ERsJyQCnFsJAAAPUklEQVRlm8PJsEtuYsurf6R67xZgIi5vIpkX34X/4HaqP/qA0vdfBmNwpmSROHgiaVOLwOGi4wGZSsU/TfA9qMMulxN8/bkNQOsul+abqMZE8K1/g2DpXrxDJpNYdAmJ3gQilUfx71lv9YlP+wyuzP741s7HmTWwVXIHiAQbcWb2p3Lh78i65rukTLmeyrcexpk1EFfOYGrWvAZB/7H4mg5/hKd/ETZPEnWb38GWkEqo+gjiTiTSWGfFJ0LisOnUbnwLM/tSa5vNjjt/JK6+QwhWfIxnwFjE5SVpxMxW8Ww71LouXVP+RMo3LQfuIjfVY33y6Tcdpk1v9+er5YvVuU4TfA86lS6XjCRXm+PaAeo2v0O4rpL0S7+MOKwuH7fXSaP0w5nRj0DJbmrff560Cz9H0+GP8I644KRris2BM2sQjqQ+lL7wfVzZhUQCfoJVhwAbpmQPkUgQ75ApNB3YQuO+Tbhzh1Hx1iM4ktJJHH0JwbK9eHOH0rh/E56+QwBwZg0k0lhPsMFnXSd6vcaD23FmDSBU8TFJE685KR6no/X9/5T+Iyhf+QLBgCZtpbpKR9Gc5cJ+H437NpA69cZjyR0gGIoc+96VMxjv0Kk0FK/EhEPYXCf3TdsT0zD+GhJHzqLvHb/CmdkPE2wkXF9NxF9D6sxbyf/io5iGWsTmIFR9BBNqInXajaROv4nGPWtwpPbFnTucQMkegpWHAKsVLw4nkfDxm8CRYCMNxcvxDp6EiQQRh7PT9yk2O2KzEwx1flNaKWXRFvxZrmHvejz9RmOP9rGD1bI/Lz+Ftfuqjo2DTx58PqVvPYwrIZlg+YGTzmNP7IM9JYuaVS+SPG4eKVNupH77MhJHzsKenEXj3vU0HtyGK38EOFy4MvrhLhiFOD1UL38Ge3IG4boqHMkZpEz8FNUrniXl/KtxpBdgAo04vQlAA6HacmrXvIIrexCuvkNp3PUB4dpyHG3Mgm0pVF8DYsPrTWh3n+ISH6HQ8S6sUMQc69pqSZcWVOcKTfBnuVB1Cc6CUZ3uZ3MnYE9KJykjn9I1/yT1gjtaTQLyDhyLb9NCUqfdRN3mt2n61+OIw4U4XNRvW4x4kpFgE031WxCnG2MiVL/3N5xpuXiHTIHopweby4M7bzg2hxPf5kUEKz7G5k7k4zXvULVrF+HaMhKGTSNh6DQQwTtgHA171+HOH9Fh/L5da0kYOLbD2a+hkGndtROKtDlKSfvm1blCu2jOMqbFw3pu2tzeJrGRWDgOcbioXvJkq5ccWYNAbIQqD5I09jLCDTV4h0zBkdEfe3IGyeMuI/PKexCnG0//MbiyB2JPSCNhxEzc/c7DX7ychCFTCUdvAjuzC0me/GnE4cLdrwg/LryFE8mY93UShk0/VuHMlT+SUG0ZjQe2tBt2U+URfLvWkjjEqkGTluCkoi5w0iMUMQRDkWMPh11LIahzm7bgz4COJjS1NSqmPW2VHkjKyKWh/ACO/se7HMKRk9N8pKmBsK8cV2oWmZ/6DmUv/YgyXxmpU27AlTuUtAQXoYnXUD7/F4Sqj5Iw6iLSL/68NeY9fwQVCx6hdtVLJE+4iqTzLibV66QybxgVC35HZNWLpE68BldGARMH9iEcbKJs50YOrH+biVfehqNgDP9383i+/tyGNlvU78+4hZrlf8f4ykgYPAnxWkXGIoFG6vZupHrru2RMuupYMbP2ulfaO79S5ypN8GdAR9UeWzIcLwbWVkvcbpNWydsAzv7j8C/8A4mjLj5287T5j0DL/ev3bsDVdygBceNKzyfn5p9QvfwZSl/7GTZXAkftTkINNdiTMkgYNoOIv4bKRX9E7E5CdZW4sgchDrc1fv1wMTUOJ0FfJc7sQnC4qNvxAY0HP2RVooem2goSswfQd+ZncPQdRFpCxzdRXWk5pF98F/XFKyl7+w/YEtKocTgI+Spw5xSSccGtuNLzO1kvSil1Ik3wPai9YmC+xiC2Fn3NzUk6wW0/6SZiQX5ffAOKaFj7Mpkzb0bszmNdE+P7pwFQc2gPHx1cQ/6cz/PYV1qOG7+Ghro6tm5aT1NTI79YWUVq7kArllCQYE2ptXJTYhqOhJRj233lR3n4pjGkZ2SR2qcPAIGmJo4cPkgkHG61vSs8DjvOjCzSpl9DJHg5/qpShmQl4EnNwOk9XnRM+86VOjWa4M8i7d1EzJgwj5q18yld9Cgpw6fhyhtJJOylobKEo9s+oHLvVobPvY1wWt+TzpmQlMTkGbMAeKh45bHtNocTd0b+SfvbHE5c6XkMGjKs1XaX282AQYNP+z3anNYnjOS+Kad9LqXOdbFcdPtJ4Cqg1BijY9La0FaXiz8QxhgItajbbhOO3USkxfj25pa60+UgddK1NJXsoW7XGsrXLaDSDs7EFPoMPZ/+V36VcEJKp10ldlvr8fMd7fdJNN8cPZHBtFrP1W6TNvfrLH6lVGuxbMH/Bfgt8NcYXuOs1tyF0qyiLsD/3Ty+3f3bu4k4PCe68lHBeDh/fKfnaU9uqveUip+dKh17rtSZFbNhksaYZUBlrM6vlFKqYz3eBy8idwN3A9z/84e44bY7ezagc1h7XSht7dcbne3xK9XdejzBG2MeAx4D2HKwRkfC9aCzvQvlbI9fqe6mM1mVUipO9XgL/lygXQdKqZ4Qy2GSzwIXAZkichD4vjHmiVhdrzfTrgOlVE+IWYI3xtwSq3Ofq/STgFLqVIgxvee+pt5kVUqpU1NUkNpuhUK9yaqUUnFKE7xSSsUpTfBKKRWnNMErpVSc0gSvlFJxShO8UkrFKU3wSikVpzTBK6VUnNIEr5RScUoTvFJKxSlN8EopFac0wSulVJzSBK+UUnFKE7xSSsUpTfBKKRWnNMErpVSc0gSvlFJxShO8UkrFqZgmeBG5XESKRWSXiHw3ltdSSinVWswSvIjYgd8B84BRwC0iMipW11NKKdWaI4bnngzsMsbsARCR54BrgA/bO8Dr0h4jpZTqLrFM8PnAxy2eHwSmnLiTiNwN3B19+iVjzGMxjOm0icjdvT3G7qTvN77p+41vsWwySxvbzEkbjHnMGDMx+jgbfvB3d75LXNH3G9/0/caxWCb4g0C/Fs8LgMMxvJ5SSqkWYpng1wBDRWSQiLiAm4H5MbyeUkqpFmLWB2+MCYnIfwALATvwpDFmW6yudwadDd1I3Unfb3zT9xvHxJiTusWVUkrFAR2XqJRScUoTvFJKxSlN8KdIROwiskFEXu/pWGJNRPaJyBYR2Sgia3s6nlgTkTQReVFEPhKR7SIyradjigURGR79N21+1IrIPT0dVyyJyDdEZJuIbBWRZ0XE09MxnQnaB3+KROS/gIlAijHmqp6OJ5ZEZB8w0RhT3tOxnAki8hTwnjHm8ejIrwRjTHVPxxVL0ZIih4Apxpj9PR1PLIhIPrAcGGWM8YvI88Cbxpi/9Gxksact+FMgIgXAlcDjPR2L6l4ikgLMAp4AMMYE4j25R10C7I7X5N6CA/CKiANI4ByZk6MJ/tQ8BHwHiPR0IGeIAd4WkXXRkhLxrBAoA/4c7YJ7XEQSezqoM+Bm4NmeDiKWjDGHgAeBA8ARoMYY83bPRnVmaILvIhG5Cig1xqzr6VjOoBnGmAlYFUG/KiKzejqgGHIAE4A/GGPGA/VAXJe4jnZDfQp4oadjiSUR6YNV6HAQkAckisjtPRvVmaEJvutmAJ+K9ks/B8wWkad7NqTYMsYcjn4tBV7BqhAarw4CB40xq6LPX8RK+PFsHrDeGFPS04HE2BxgrzGmzBgTBF4GpvdwTGeEJvguMsbca4wpMMYMxPpYu9gYE7etABFJFJHk5u+BucDWno0qdowxR4GPRWR4dNMldFDaOk7cQpx3z0QdAKaKSIKICNa/7fYejumMiGW5YHV2ywFesf4/4AD+boxZ0LMhxdzXgGeiXRd7gLt6OJ6YEZEE4FLgSz0dS6wZY1aJyIvAeiAEbOAcKVmgwySVUipOaReNUkrFKU3wSikVpzTBK6VUnNIEr5RScUoTvFJKxSlN8CouichFbVX8bG97N1zvWhEZ1eL5UhGZ2IUYa0TkzW64vjdaGTIgIpmnez4VHzTBK9U9rgVGdbrXyd4zxlxxuhc3xviNMeM4R4poqa7RBK96RHSm7Bsisilao/um6PbzReTdaIGzhSKSG92+VEQeEpGV0f0nR7dPjm7bEP06vKPrthHDkyKyJnr8NdHtd4rIyyKyQER2isgvWhzzBRHZEY3nTyLyWxGZjlXT5ZfRVvTg6O43isjq6P4XdDGm70Rr8G8SkZ+3eO+/EZFl0Tr1k6Lx7RSRH3f1/apzj85kVT3lcuCwMeZKABFJFREn8AhwjTGmLJr0fwJ8PnpMojFmerTo2ZPAaOAjYFZ0kfc5wE+B67sYw/ewSk58XkTSgNUi8k70tXHAeKAJKBaRR4Aw8D9YNWp8wGJgkzFmpYjMB143xrwYfT8ADmPMZBG5Avg+Vk2UdonIPKxPAlOMMQ0ikt7i5YAxZpaIfB14DTgfqAR2i8hvjDEVXXzP6hyiCV71lC3AgyLyAFZifE9ERmMl7UXRBGnHKu/a7FkAY8wyEUmJJuVk4CkRGYpV3th5CjHMxSog963ocw/QP/r9v4wxNQAi8iEwAMgE3jXGVEa3vwAM6+D8L0e/rgMGdiGeOcCfjTENAM3XiZof/boF2GaMORKNYQ/QD9AEr06iCV71CGPMDhE5H7gC+JmIvI1VsXKbMaa9pfJOrKthgB8BS4wx14nIQGDpKYQhwPXGmOJWG0WmYLXcm4Wx/q/IKZybFudoPr4r8bRXO6T5XJETYot08dzqHKR98KpHiEge0GCMeRprMYYJQDGQJdG1UEXEKSLntTisuZ9+JtaiDTVAKtaScwB3nmIYC4GvRSsMIiLjO9l/NXChiPQRa2Wgll1BPqxPE6fjbeDz0UJgnNBFo9Qp0wSvekoRVp/3Rqy+8B8bYwLADcADIrIJ2Ejrut1VIrIS+CPwhei2X2B9AliB1aVzKn6E1aWzWUS2Rp+3K7oy0E+BVcA7WOWEa6IvPwd8O3qzdnA7p+hQtFrnfGBt9OfyrU4OUapDWk1SnRVEZCnwLWPM2h6OI8kYUxdtwb8CPGmMeeUTnusirPfUbYu3yzm2ULrqmLbglTo1/xttXW8F9gKvnsa5AsDo7pzohPWJ5FxZM1h1QlvwSikVp7QFr5RScUoTvFJKxSlN8EopFac0wSulVJzSBK+UUnHq/wMp98qBpdRdugAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "from mlxtend.preprocessing import shuffle_arrays_unison\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, [0, 2]]\n",
    "y = iris.target\n",
    "X, y = shuffle_arrays_unison(arrays=[X, y], random_seed=3)\n",
    "X_train, y_train = X[:100], y[:100]\n",
    "X_test, y_test = X[100:], y[100:]\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(C=0.5, kernel='linear')\n",
    "svm.fit(X_train, y_train)\n",
    "\n",
    "# Specify keyword arguments to be passed to underlying plotting functions\n",
    "scatter_kwargs = {'s': 120, 'edgecolor': None, 'alpha': 0.7}\n",
    "contourf_kwargs = {'alpha': 0.2}\n",
    "scatter_highlight_kwargs = {'s': 120, 'label': 'Test data', 'alpha': 0.7}\n",
    "# Plotting decision regions\n",
    "plot_decision_regions(X, y, clf=svm, legend=2,\n",
    "                      X_highlight=X_test,\n",
    "                      scatter_kwargs=scatter_kwargs,\n",
    "                      contourf_kwargs=contourf_kwargs,\n",
    "                      scatter_highlight_kwargs=scatter_highlight_kwargs)\n",
    "\n",
    "# Adding axes annotations\n",
    "plt.xlabel('sepal length [cm]')\n",
    "plt.ylabel('petal length [cm]')\n",
    "plt.title('SVM on Iris')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 10 - Providing your own legend labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Custom legend labels can be provided by returning the `axis` object(s) from the `plot_decision_region` function and then getting the handles and labels of the legend. Custom handles (i.e., labels) can then be provided via `ax.legend`\n",
    "\n",
    "\n",
    "```python\n",
    "ax = plot_decision_regions(X, y, clf=svm, legend=0)\n",
    "\n",
    "handles, labels = ax.get_legend_handles_labels()\n",
    "ax.legend(handles, \n",
    "          ['class 0', 'class 1', 'class 2'], \n",
    "           framealpha=0.3, scatterpoints=1)\n",
    "\n",
    "```\n",
    "\n",
    "An example is shown below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, [0, 2]]\n",
    "y = iris.target\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(C=0.5, kernel='linear')\n",
    "svm.fit(X, y)\n",
    "\n",
    "\n",
    "# Plotting decision regions\n",
    "ax = plot_decision_regions(X, y, clf=svm, legend=0)\n",
    "\n",
    "# Adding axes annotations\n",
    "plt.xlabel('sepal length [cm]')\n",
    "plt.ylabel('petal length [cm]')\n",
    "plt.title('SVM on Iris')\n",
    "\n",
    "handles, labels = ax.get_legend_handles_labels()\n",
    "ax.legend(handles, \n",
    "          ['class square', 'class triangle', 'class circle'], \n",
    "           framealpha=0.3, scatterpoints=1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 11 - Plots with different zoom factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=0.5, break_ties=False, cache_size=200, class_weight=None, coef0=0.0,\n",
       "    decision_function_shape='ovr', degree=3, gamma='scale', kernel='linear',\n",
       "    max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
       "    tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from mlxtend.plotting import plot_decision_regions\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# Loading some example data\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, [0, 2]]\n",
    "y = iris.target\n",
    "\n",
    "# Training a classifier\n",
    "svm = SVC(C=0.5, kernel='linear')\n",
    "svm.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Default Zoom Factor**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAD4CAYAAADFAawfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nO3deXzU1bn48c+Zmew7WUgCgSQEUUFERNwtqGw1CEWLCtaqV8GlVmu91trW3t7b9tpq/bnWiiu2oEVFUdyIKHIVF1ZFZJElEEggCYTsyyzn90cWgfl+kxlmzeR5v168NN/5zskTlIczz3nO+SqtNUIIIcKXJdQBCCGE6J4kaiGECHOSqIUQIsxJohZCiDAniVoIIcKcLRCDfrZ3pbSSCCGEF84eeIEyey0giXp37a5ADCuEEBHr7IEXmL4mpQ8hhAhzkqiFECLMSaIWQogwF5AatRBChILSigSSibHEoDBdmwsZjabV1UojdWjlec+FJGohRMRIIJnk+GSwaMIwT4OGGFcMNEEDtR6/TUofQoiIEWOJCd8kDe1xWXR7nF6QRC2EiBgKFb5JupPC67KMJGohhAhzkqiFEMLPvljxJVdfeC2zfnANC/7+ks/jSaIWQgg/cjqdPHzfY/z1hT8zv+RZlr/5EaXf7fZpTOn6EEL0STdd/ksOH25yu56aGs8/Xv3bcY+7ecNWBgzOJXdQLgAXTh3HJ8s+JX/o4OMeUxK1EKJPOny4iRNuetjt+rZ/3OHTuNUHqsnKzer6OjMnk80btvg0ppQ+hBDCjwyfQ+tjJ4okaiGE8KPM7Ewqyyu7vq6qqCIjK92nMSVRCyGEH5146jD2lu6joqwCe5udD99awbkTzvFpTKlRCyGEH9lsVu7479u465p7cDld/HDmZApOyPdtTP+EJoQQvUtqarzhwmFqarzPY581/kzOGn+mz+N0kkQthOiTfGnBCzapUQshRJiTRC2EEGGux0StlBqmlNpwxK86pZRvHeFCCCE81mONWmu9FRgFoJSyAvuA1wMclxBCiA7elj4uAnZorX07YUQIIYTHvO36uBIwPLNPKTUHmANww++v5aIfj/MtMiFExNjwyde8t2gZVeXVZOZmMHnmREadNzLUYQXE/f/5AJ99+AVp6am8sOwZv4zp8YxaKRUNXAq8YvS61nqe1nqM1nqMJGkhRKcNn3zNv59fRNqEOM74/UmkTYjj388vYsMnX4c6tICYcvkkHpj/v34d05vSxxRgndb6gF8jEEJEtPcWLSN/eg5pQ5KxWC2kDUkmf3oO7y1aFurQADh8qJbf33gvtTWeP2y2O6eeOZKklCS/jNXJm0R9FSZlDyGEMFNVXk1KfuJR11LyE6kqrw5RREcreeUdHGXbWLbonVCHYsqjRK2UigcmAIsDG44QItJk5mZQW9pw1LXa0gYyczNCFNH3Dh+qZfU7JTxyWQ6r3ynx26za3zxaTNRaNwG+ndMnhOiTJs+cyNN/eRZXjBN7o4OoBBuWVis3/uo/Qh0aJa+8w9QixdD+sUwtamLZonf48dyrQh2WG9mZKIQIqJ2bdmHXdnIu7scJcwaSc3E/7NrOzk27QhpX52x69unJAMw+PTlsZ9WSqIUQAVXyxnIKZ+XQf2w/UgYn0n9sPwpn5VDyxvLQxtUxm05PbC8spCfamFqkfK5V/+G2P3HLjJ+zZ2cZl591JW//+12fY5XT84QQfmPUL93S2EJK0TGLiUWJtDSWhSjKdl+tWsdH5S289HX5Udf7Va/zqfzx+8d+42tobiRRCyH8orNfOn96Dvn5J1Fb2sC/n19EVEwUtdsbSDvx+5a12u0NxCbEhjBa+OP8B0L6/b0hpQ8hhF+Y9UvHxyaw6+UKarbU43JoarbUs+vlCiZMvyjUIfcaMqMWQvhFVXk1+fknHXUtJT8Ra4yFSRMmUfLP5bQ0lhGbEMuk6ZOYMXdaiCLtfSRRCyH8orNfOm1Icte1zn7pGXOnSWL2gZQ+hBB+MXnmRErfqKBmRx0up4uaHXWUvlHB5JkTQx1aryczaiGEX3SehvfeomVsKy8jMzeDK66beVyn5PWl0/Y8IYlaCOE3o84b6XNCNese6Rw/3FWWV/KnO//CoaoaLBbF1Ksu4fLrZ/g0piRqIURYzWCP7B4B2v85vf16b0jUVpuVW397EyeMGEpTQxM3Tr2ZMeefTv7Qwcc9piRqIfq4cJvBmnWPbCv3/waZz1d8yWsLX6OibD85edlcNusyzho31qcx07PSSc9qPxopPjGewUMGUbW/2qdELYuJQvRx4XZedLBO2/t8xZc8/dQ8ki+M4cz/GkHyhTE8/dQ8Pl/xpd++R0XZfr77djsnjzrRp3EkUQvRx4XbedHB6h55beFr5E/LpV9RCharhX5FKeRPy+W1ha/5Zfymxmbuu/kP3HbfLSQkJfg0lpQ+hOjjuut/DgV/do90p6JsP4MKRhx1LbUgia1lvj+722F3cN9N/8XF0y/igsnn+zyeJGoh+rjJMye216Snt8+ka0sbKH2jgiuumxmymPzRPdKTnLxsDu+qp19RSte1w7vqycnL9mlcrTV/+dWDDC4azBU3XO5rmIAkaiH6lO66O4xmsP7qBgmnrpJOl826jKefmgfT2mfSh3fVU7qknBvnzvFp3I1rvmHZ4g8oPLGA/5gyF4Ab776es8afedxjSqIWoo/oqbvj2MTpr26QcOsq6dTZ3fHawtfYWrabnLxsbpw7x+euj5FnnMLHpR/4I8QuHiVqpVQq8AwwAtDA9Vrrz/waiRAioLztT/ZXP3M490WfNW6sz4k5GDydUT8CvKe1vlwpFQ3EBzAmIUIuHD+q+6qqvJq4w1l8/revaKpqIT4zlsHjck27O/zVzxzMvuhI1WOiVkolAxcA1wJorduAtsCGJUTohOtHdV/FxMSw7e1S8i/PJnFwHA27m9n2aikpMWmG9/urGySYXSUa3f6ZX/l9aP/RHXF6wZMZdSFQBTyvlDoVWAvcrrVu9D5CIcJfKD+qB3LxzmJTZF+QRnxuDMqiiM+NIXt8Gq2rjLOav7pBgtlV0upqJcYVAxYdnslaAy5Fq6vVq/g8SdQ2YDRwm9b6C6XUI8A9wO+OvEkpNQeYA3DD76/loh+P8zwKIcJIqD6qB3rxruFgE6eNHEZDbT2t9mZsUVEMGJnLphLjp4H7q585WH3RAI3UQRPEWGJQYZipNZpWV2t7nF7wJFHvBfZqrb/o+PpV2hP10QFoPQ+YB/DypvnezeuFCCOh2gAS6MW7DX/fir3aQfaQ/l331uyo6/bn8lc/czD6ogG00jRQS0M4Z6Dj+Pujx0Sttd6vlCpTSg3TWm8FLgK+9f5bCdE7HM9HdW9LFkb3B3rxzqKtbH5hF64YB60NdmISo7C02rj2F9d4Nb4IPk+7Pm4DFnR0fOwErgtcSEKElrcf1b0tWZjdH5cQG9DFu5T0ZFppJmtcOjGZVlqrnBxcUe/V2CI0PErUWusNwJgAxyJE2PDmo7q/+pN3v1xJ6RsVAVu8s9psnHD54O8T+AmQnl0XFv3MonuyM1EIH3lbsqgqr6Z1XSyrH9uIvdlJVJyVvHOzaW1t5Sc3z/J5K7fZJ4J/PrzQ8JQ86WcOf5KohfCRt4uPzlYXe1cfoPCnOSQPiaduRxO7XtpPgkry21Zuo3HeW7QsrE7JE56T86iF8JG35yc3tTSSP7M/KUMTUDZFytAE8mf2p6nFeGuCvw72l6eE914yoxZ9grddGYufWkLJG8tpaWwhNiGWCdMvYsbcaabXwfPFR3urncS8eJqrWtEOjbIpEvPisbfaDe/3VzdIMPuZhX9JohYRz9vSweKnlvD+2+9T8JMcUooSqd3ewPsvv8+3qzdTVrnH7TrAjLnTPE54UdFRHN5aT9opSVijLTjbXNRsrCcqOsrwfn/2dQern1n4lyRqEfG87cooeWM5BT/JIe3EpPb7T0yCK2Hzk9sZMCmT8pJqdr5UTmxGNOljUyh5YzmFwws8nrEnJiZSsfwQMWnRJObH0rS3lYrlh0hMTDSc+Yfjwf4iuCRRi4jnbemgpbGFlKJjuiOKEnG2uqjd0kDetCwSB8XSsKeFsiWVNNY0eTVjVzZF4cQ89rxVTsuhNmL7RVM4MY+yJZWG41xx3UyuuG6mlCz6MEnUIuJ5WzqITYildntD14waoHZ7A9ZoCwOmZJBUEAdAUkEcA6ZksPUfZV7N2DNzM0jJjuOCe8/oulazo45dznLTce559C5JzBFs25qtMNz8dUnUIuJ1VzowKjVMmH5Re+35Srpq0btersBms2GLt+JscWGNseBsdWGLt4JLedWfbBaPRVtNx4nE87H7EpfLxcoFH2Kva3J7ra3Vznm5xkfNdpJELSKeWbcDYFpqmMQkSv65nJbGMmITYpk0fRLbNn2Hpd5Bm8WOy6WxWBSWehvxyXFezdjN4jHrc46JiYnI87F7q5amVtpaWt2ut7XaWfXiB2TEx7q/Zrcz54LhjB464Li+p9La/8dMyel5oje4/+cPkjYh7qjEWLOjjpqSZu559C63+4/sHjlyJnzG2DNY/eVqt+ve1pHNxrc6bORdnulxnMJ3u77ZxaGKg27X7S12ajbs4JRBWW6vKQXXjx9JWvJxPgDrnNtMz9WTGbXos7xdZBx13kg+feczPn9wLU6HC6vNwphzT2fG3GldXR+BOLdZtn77n9aaVa+upKGy1u01e5uDUWnxXDMy3+01peCkc4uxWoO7V1ASteizvF1kXPzUEr7+5iuGzc3rql1//fJXLH5qiVd91N2Rrd/ec9gd2NvcNwvZ2xysfH4ZqdHuac5ud3D12KGcP/G0YIToM0nUos/ytj/ZrL+65J/Lu3YnhkOckahs+z4O7XN/CK+jzcG+VZs4KTfd8H0PTj+T7PRkw9d6E0nUos/ydku1WX91S6P3XRn+OA0v0hYSv3zzMw6VVbpdd9idFMVGMWNUvvubYqIZ9bOpRNmsgQ8whCRRiz7Nmy3Vpv3VVptfHhxgdr+3cYaay+XC5XS5XXc6nHz4zLskKPc1M6fDyaWnDOaSq8cHI8ReRxK1CGtP3PsUaz49evHu1j/P7XZGWldTz/P3Pc31/zOHpNTEHr6DMW/6q1PSk8me2I/WqGbKS+uwRUWRPbGf1w8O6O4A/3Droz6wp5KqcoNShMPBzg/WU5SZavi+P0wYRX5Ov0CHF3EkUYuw9cS9T7H+q/UMnTOg69zm9QvX88cb7qdRN5jOSD99/WMs5aV8sngFU64v9vr7ms14zfqrP3rrY5zxrcQkRxMdE4ez1UmrvZV9O6sMx/e228RfTyf31vqStez/bp/bdafDSS6aqacWGL7vjFuKiY0xPmBKHB9J1CJsrfl0LUPnDCBlWAIAKcMSKJyVw9Z/bOecu08znJEWDi9gU8mnPDEji1uXfsp5M8Z5PavubsZ7z6N3uS0clryxnLZ6BwkD2reW22Kt1Nc7cDgdhuN7223ir6eTH8vldPHBM+8QY3e6veZ0urioKJsrZo877vGF/3iUqJVSpUA94AQcWmt5fqLwK6OP9k6Hi+QhR28eSB4Sj3Zq077iRf/vZeoaapm98DAWi+LfD73EDf99o1exVJVXE3c4i8//9hVNVS3EZ8YyeFyu4Ud9AIu2su/dg1ijrSQOjqNhdzP73j2IRRsvcHV2cbimOnFEtWKzx7LnrQOmXRyezMAP7j9kGJ/L6WLLu6sZlJrg9prWcNf4Uzh5cH/T3wsRHryZUY/XWhv/nyqED8w+2lusFup2NHXNqAHqdjShrMpwRhodG826des5c1Z/MgfHUbW7mS8Wruez977k7MljPY4nJiaGbW+Xkn95dlfi3fZqKSkxxucx5J0wANfgVirePdSV2HNGZWLZHWN4f+cseMEjCzm8/yCp2enMvn2W6ey4cwZur7dTu7P9qeHNh1pRbZpl897B5XKR2NDEpQalCAX85w2TSEpw39Yseg8pfYiQM/toX/doAzsXVlA46/tnC+5cWMHQYUWGT+tuONjIST/OpH9h+yy8f2E8J83IZPGzi71K1BabIvuCNOJzY1AWRXxuDNnj02hdZbzDt3OGPGx6wTF9zlNNv0fh8AL62xSv3jSYW5c2MmREIVprVrxQgmpsOere3NhkvnjsGwafm87oSwZwqLSBnW8189DcS5l8ZvtMO8pmRRl0U4jI4Gmi1sAypZQGntJazzv2BqXUHGAOwA2/v5aLfjzOb0GKyGFU4jD7aB+bEsvJJ5zEmnnmXR9H9hU//tu/40jLZEvl97VhnRZDTdUBr7ommhtbGDg0l/qqerTThbJayByazncl5Yb3G/U5F19WTFJqEju+2XXUvVprNr75OQd2lpHW1sDStQ7S2lpY8MsnGD1yKDeccxJnnOB+cM+7n3/LA68tZ8ldaxh9Qh4PzrqUKWed7NXvvei9PE3U52qty5VSWUCJUmqL1nrlkTd0JO95IIcyCWNmJY6YmBjTxbVb/zzXcCyjvuKikUXE29wPWcoa0N+rrom4hFiqvjtI6smJKKtGOxVV3x4k7pjywXdrtlK2aXfX12NPHwmntyfj5q92MkIZ/zG4YtpY5v7PV7w0qz8ZiTaqGxzMXHSI3/zobNJT3GvJAFPOOpnNO/ZC1X6KRw2TJN3HeJSotdblHf+sVEq9DowFVnb/LiGOZlbiKHu1yrCU4e0WabOt1labjTwvuiZcDs3+jw5hTbLQXNpMXVkL9VuaSLDE8dETS9rvcWlOTk3gwQmnGsaSFB9rWop4aMEyiossZCS2//HLSLRRXGRh/tJPuXO28RPBqw83sPTj1Tw5I4Obl67mp8XnmiZ1EXl6TNRKqQTAorWu7/j3icB/BzwyEXFMuxcay/jJHbO83iJ97MaWUeeNZOemXZT8/einhH9a8hnxmTHU7Wnoeq+yQvmuCkr+vZx3XniHlqYWkpPiGX1SETV7q4ktiGbns/uwWCChfwzDLx9I7fIGnvLDzrkV67ZRXtnKwo1Hb5fOPbCNO2dPpPpwA3Pv/xfzfv2TrmT84turKC6yMCwrhuKilm6Tuog8nsyo+wOvd8wObMBCrfV7AY1KRKTu+oePZ4v0sRtbli0o4cO3PiLrtDTi0mNoPtjKh299hLJb2PTMNgrPyux6b/3+ZhK0YtnCtxk5awADTknjYGkD25fsYVBWCpazoph0Yw42q8Lh1Hy1sZGBGSl++X14828/6/b1F99eRc3+sq5k3DmbXjSzfev6NaMTmLlIZtV9SY+Hqmqtd2qtT+34NVxr/adgBCYiz+SZEyl9o4KaHXW4nC5qdtRR+kYFk2d6PjP84o1PWf7Em7z94Ct8+K/3GJFp48N/vcfbD77CykUfMObKPMb8cADDz8xgzA8HMObKPHJT40h02IhJtdKQ2kpMqo2WHa2kJcYy+rp88kalY7FayBySTOG0/hxuaqb6/Spq9jTT3NxGzZ72r4v6df+4JG9VH27gsnv+wcHaxqOudZY4ln68moO1jV2zaaNSidk4IrJIe54ImiO7I7bs3U1qvxQmXjKB7EH92b/nANC+ELd28SoybO5zCK01E07Oo/jqcTy0YBmnnZ3EnRek8NDKWohXfGHV5I5Iw3LEoe65I9LYufgAj1w/g/94aAF1DU0kJ8bz7J2zuf2pxaQfs3EmPT+Rww3NZEXZWPHkXtocLqJtFrKiY9hffdivvx/Hzpw7rx1b4uipVGI0jogskqhFwOzbvo/dX+9yu37+D87k4Le7uejEgeDU8MXmo17/45TR3R7cY1YKGJiRwsHSBjKPKK0cLG2gILsfhTnpxLc0896sBGYsaqJoQAYF2f0M7z9reD4LfnUNM+9+hCeL47l5aROvPHCHX8sMRouDWmvDn6u77y2LjH2DJGrhE5fLxcp/fYij/pinK2vIUC7uuniU4fuyfzCc6Kjj+9/PrBSwxZnGZ0v2wbT2mfHB0gZ2LjnAX6+cyj1PvMr0YVb+sKKZ6cOs3P3YK9wxYzx3v/yW4f3Hs3hntAhodt1ofMDrbhBZZOwbJFGLLk0NzTQ3NLtdd7Q5+OKlD8k0eLqyw+HkxguGc3pRbjBCBLrpmsg6zF+vnMrDS1bwyf69FGT3469XTqUwJ52NW3Zw6ik2appdnNLfysaNOyga8GPD+884cRAPPPe614t3ZiUITxcHo2MTqa4xL3EcSxYZ+w55Cnkfs+vrnVQZPUWjzUH9t3s4vcD4gJ5Z559Mv+Te+Yf/R3c/wRBdyrpyJ09eEsvNb7cwOtfKDpXP63+91e3+hxYsg31rufOC77s8HlpZCwNO77bP2ahUYnR9/tJPvR7fyPHEKcKYPIU88nVuka7cV0UUVoYV5TNwUPZR9zgdTkamJXDTaYWGYxSNG4HF4v3Tlc0+8nt7v7fjmNm6+wCTb3+EZY/dwdC8LNZvLeOTpjauGhFFi1MzIsvC/A1tJMSXGX5ff/Y5H8/ioKf8NY4If5Kow1hbSxstTS1u1x0OJ6v+uZy0jqcr7y47wKoNm0g9MZF+J8aS1j+WivW7+cWFI4Oy1djbrgNPSwTH654nXqWfrZm7H3uF1/96K2vm/5aZdz/CfZckkZFo474cB9801vPKA3cYfl9/9TkXnz/K68VBb/QUp4gckqhDrGxrGZUdrWlHctldHFi7lVGD3EsRCs2DPzqr6+nKk379d869peio7oWqQXU8vGRFwBO1t10HZvf7q3th6+4DbNyyg8UzE5ixaAfflVXy1soNpot011xyjs/xmy1u/urxV7xeHBTCiCTqIPhyyWfU7HV/LJPL6WJIbBTXjBli+L4Tbyn26OnKu/Yf4rz8rKOupecn8sn+vccXsBe66zrwtURwPMnsnideZdYIGyOzo5g1wsbdj72C06lNSwSAz/GblSCq68ooq4jlxQ37qTjUSE6/BGxWS7clFCGMSKL2gsPuwN5md7vudLj4v/klJFkMnq7sdFE8YhCXXD0uYHGZ9QMXZAf2IaI9dR34WiLwdlbdOZv++/Xtm1huHhvL+c/t4N0n7mFoXpbb/Z0Lfb7G31Mp46EFy1ha8jHFE84LSKlHRD5J1MeoKN1P5W6DUoTLxe6VGxmem274vj9MDN3Tle+YNs60HziQutvabFRSCHSJoHM2nZPY/ikkJ9HaNas26u7ojAfgsufLmDcz16P4je739tQ72agivNEn2/PWL1vDAYOnK7tcmhw0l59RZPi+Uwpzw/bpyu9+/i0PL1nBrv2HKMjuxx3TxgW8Pn3pLx+nvNL96Wy5WRmMG31CV+tYZ8tYe4nA/f7quhYykt17tHOzMrxaMMufdg/2tla361HRMZQuud80/kP1zaTa2jjsiKZfUlyP8RvdbxbnkS10R7bOmV0XfVg37Xm9OlG7XC5cTpfbda01Hz33PrEO96cru1wuxg/J5orzhgcjxD7pyJLC9wfj1/t9G7Y/GPU5a61N4+98zZOt5Wa/D//47Y3c9Mene8Xvjwii3txHXVVezYE97hs0XC4X20vWU5SRbPAu+M/zh3PSYPe6pAi87koi3S2iHdv/3BN/LMZ5u5W78zVPFj2lG0T4S1gk6m9WbqTsG/fDe1wuTWprKzPHDDV832lzJpMYb/ykZxE6x3va27H9zz3xdTHO263cmfs209rc4PGiZ0/dILJRRXgqKIlaa81Hzy/D2uxeP9QuzRm5afxx9rhghCKCoLu6stkimlH/c3ezan8sxpnNeBlwkmHC7KwrezoTlg0pwl8CUqO+a+60owbVGq40ebqy6FseWrAMZ9lqflTk4PXtUVjzxnDn7Ild53HsqnFRkGY56hwOoxKHPxbjulsMNUqy3t4vhFeCXaN+8KcXB2JY0ct1zoIfmwBOexs/HGLjtpLVnHPqCYan23XOqgP1aCpvk6skYxEq3p/AI8RxevHtVUwpBJuzhcFpNmzOFqYUKm7+y4tMH2ZlZamDJy+JY2Wpo+vM6ON5NJUQkcbjRK2Usiql1iullgYyIBE5tu4+QMH0e/mu41jVFeu28fSX9Uxd2Mh5zzUwdWEjT39ZR9n+GuZvaGNEluWo0+3Wby3jxbdXMS4P7n27kvGD6NqyvXBjK2OeqOz6tXBjKyvWtW8JN3uGoDxbUPRW3pQ+bgc2A8b9cEIc49gujud+d61hX/HSh+/kpj8+7Xa6XWe/8fgBdmoa28BpZ+nHPW/ZDvTpfEIEm0czaqXUQOAS4JnAhiPCgT9mnp1dHM9PT2DjlvZ6c2fJIiXWwva9VaTGWbrtK/7V468wLg8+2NbAPedF88G2hq5ZdXexH1sq6e66EL2BpzPqh4G7gSSzG5RSc4A5AE/dfQVzpp3re3QiJPwx8+zuFLt/fF5Lc3MLcXHNJCfEmvYVV9eV8ZXSTC2EgUkwqj88v6aOETXm/caBPp1PiFDoMVErpYqBSq31WqXUOLP7tNbzgHkArHosrM/6EOb80Z/c3Sl2aUnxHVuw+3u0BfuyXz7MVac0U5hu46pTLGyoi+P5+67rNvZAnc4nRKh4Uvo4F7hUKVUKvAxcqJT6V0CjEiFz9Mzz+DopOmfTGfEWth9sIzPe0jWr9mb8F99exQ8GtJGfZiXWZiE/zcoPcttM33M8W7aF6A282vDSMaO+S2td3O2NMqPulfx1mFLnKXYul8aiNC6tsFgUVls0RTnJHo8/5fZH+Oa7UjLjLVgs4HJBVZOLEUPzefeR293uN9uQ4q/T+YQIqN58KJMInp4OU/JU6ZL7u336tqfjTxh7EhMGNBk8Zfskw+8rSVdEqoBsIZcZde/kzy3SDy1YRsPO1Xy1t4FReYkkFJxheh61bNkWguCfRy2Jum/rnE2PH2Dno+/qGT80iY/2Rcl5y0J0p5tELVvIhd917ib8aHsjTxYn8NH2xh77n4UQ5iRRC79bsW4bL6yt49T+4NQuTu3of+5pi7cQwpgkauF3z/3uWvKzkvnN5DxOLsjlN5PzyM9K7up/PnJDjRCiZ5Ko+4Bgz2C76x7pbiu3zLSFMCbteX1AsA8j6u5RXGD+zEE5NEkIY5KoI5w/toR7y6x17sgNNXD0Vm6tddDjFKK3kNJHhPPHlnB/x2JUEgmnOIUINzKjjmD+emSVv5iVRNL3bsbe4vnTvYXoa0FAKU0AAAu5SURBVCRRRzB/bQn3F7OSiLdP9xair5FEHUGOfVp35wz2xQ37qTjUSE6/BGxWC7kHzM9zDoXuFh/DKU4hQkW2kEeQhxYsY2nJxxRP+MFRCc7suhAijMgW8sgnj6ASInJJoo4QZl0T0k0hRO8niToCdM6arxnd3iFxzegEln68mm17Kg2vy6xaiN5FEnUEkEdQCRHZpOsjAph1TZg93Vu6KYToXSRRRwB52okQka3H0odSKlYp9aVS6iul1Cal1B+CEZgIPDmtTojewZMadStwodb6VGAUMFkpdVZgwxLBIOdCC9E79JiodbuGji+jOn7JhpZeTvqrheg9POr6UEpZlVIbgEqgRGv9hcE9c5RSa5RSa+YtkRlauJP+aiF6D48StdbaqbUeBQwExiqlRhjcM09rPUZrPWbOtHP9HafwI7O+a5lVCxGevOqj1lofBlYAkwMSjQiK7k7VE0KEnx7b85RSmYBda31YKRUHXAz8JeCRiYCR0+qE6F086aPOAeYrpay0z8AXaa2XBjYsEUjSdy1E79JjotZafw2cFoRYhBBCGJCzPoQQIsxJohZCiDAniVoIIcKcJGohhAhzkqiFECLMBeSY07dWbfb6PamJsZw/siAA0QghRO8WkET9WdIEr99Tu28781e8T7+kuABEFDwjB6dz9YXDQx2GECKCKK39fxDe0yt39tnT9bauepeG7z7Daum9VSWX1owZGMNPL3Q70qVXUUphtfbe/w6ijznnNmX2kiRqYWj76uUc2LYh1GH4pLm+lrNzNacMSgt1KD7J7pfM8MKcUIchAk0Steir9u7YQlNDXajD8En1trUkHt5KfExUqEPxycTRg7lolKxDmZJELYQItXVvPY+lphRlmo7Cn73NzswzcwPzF44kaiGE8J3Wmq+XvUz9gd1+H3v+M/NME7U8hVwIITyklOLUSVcF/fvKkrgQQoQ5SdRCCBHmJFELIUSYk0QthBBhThK1EEKEOUnUQggR5npM1EqpPKXUR0qpzUqpTUqp24MRmBBCiHae9FE7gF9qrdcppZKAtUqpEq31twGOTQghBB7MqLXWFVrrdR3/Xg9sBgYEOjAhhBDtvNqZqJTKB04DvjB4bQ4wB+DqX/6RCy4N/u6dSPe/P7uKhoZ6t+uJiUn8+vGXgj6OECI4PE7USqlE4DXgDq2123FkWut5wDyQsz4CpaGhnsIbHnO7vvOZ20IyjhAiODzq+lBKRdGepBdorRcHNiQhhBBH8qTrQwHPApu11g8FPiQhhBBH8mRGfS7wE+BCpdSGjl8/DHBcQgghOvRYo9ZafwL04qO+xbFqD1azr/Q7w+ve+PmlZ+JwuS9H2CyKR990W282JYubQnRPzqPuRRITkwwX/BITk7waR7scHFzqXsXSLodX4zhcmsE/e9Ht+u7Hr/FqHFncFKJ7kqh7EX/NLlMzsyUxCtGLSKIOQ2algEMVe1FR0W7XzUoNN08ahbZa3a5rh52Gx292u+6o9670IYQIDknUYcisFHDwz5eT70WpQVut5P3sX27Xyx67mtxrH/Z4HCFEaMnpeUIIEeZkRh1CZiUOb7svXPZWbike6/6C1mjtMnxPU8UO93GcDsNxtL2NfjkD3a4721rY9chs98Gd9p6DPkL9oSrW3n+F23WbRZqNhABJ1CFlVuIwSlrdstgMuy92PTIbpYw/NEX3LzS4qozHeXS2aSmm4OcL3K57W0JJ6pcpi5tCdEMStR952w98sKKMQ//rnpS1vdVwfO1wsOeZW92vO+2UPfdzg+sOKl64w/C61sbHsTRX7jH4xoa3mnLZ2/jNtcVu16UvWojjI4naj7zuB7baGHjrfLfLZY/NNnyPslrJuPRut+sHXrqXnGsfMRwnfYp7Aj+w6Hfsf/EXbte100FURp5xrN6wWmWGLIQfSaIOR0rxpxeWul2+pXgs8VmDvRnItMSR81P3ro+yx672YmwhRLBIovYjs1KGy95iWArApPyAxvB+7TJeGDSnaas2KGV4W8swH96wVKIdDr6WPm0h/EYStT+ZljKuNl6M+9PlaEeb4VBmi3dm2ip3GVxV2FKyDa8bzZ610075cz8zvG5UttBOO1Vv/sV9dKvNqz5tf22NFyJSSaIOJQVR0TGG170Vn21U4gCLwU5GgILb3bs1dj06m9F3PON2fecztxmWYn5zbbHhXyiru/kLxYgsMArRPUnUfqRQpjNkQ06n8SzTaXI4ktNhcr/d8Lp2OkxmyMbjKKfTLzNbpaHVoORiMWkVNCOn6gnRThK1HymLxasZcnrOQNOZqvH9eYb3m7mleCyDbnjC7frux6/h70u/9HgcbymrlQH5Q92ut6ZneDWOnKonRDvZQi6EEGFOZtTHwewjuba3+aWk4K/FNaVdlBtseFEm28q9ZRanzaJkcVAIP5JEfRzMPpJjsujmrd5y7rTUiYUIjh4TtVLqOaAYqNRajwh8SH2HLJYJITzhyYz6BeBxwP20HuGTQC+W9fb+5N4evxD+4snDbVcqpfIDH4rwt94+K+/t8QvhL37r+lBKzVFKrVFKrVn5pvwBE0IIf/HbYqLWeh4wD+DplTv9dJhEeJKP5EKIYJKuj+MgH8mFEMEkiTqEZGYuhPCEJ+15LwHjgAyl1F7g91rrZwMdWF8gM3MhhCc86fq4KhiBCCGEMCZnfQghRJiTRC2EEGFOErUQQoQ5SdRCCBHmJFELIUSYk0QthBBhThK1EEKEOUnUQggR5iRRCyFEmJNELYQQYU4StRBChDlJ1EIIEeYkUQshRJiTRC2EEGFOErUQQoQ5SdRCCBHmJFELIUSYk0QthBBhThK1EEKEOY8StVJqslJqq1Jqu1LqnkAHJYQQ4ns9JmqllBV4ApgCnAxcpZQ6OdCBCSGEaNfjU8iBscB2rfVOAKXUy8A04FuzN2QkRfsnOiGEEB4l6gFA2RFf7wXOPPYmpdQcYE7Hl3O11vN8Dy9wlFJzwj1Gf5KfN7LJzxvZPKlRK4Nr2u2C1vO01mM6fvWG38A5Pd8SUeTnjWzy80YwTxL1XiDviK8HAuWBCUcIIcSxPEnUq4GhSqkCpVQ0cCXwZmDDEkII0anHGrXW2qGU+hnwPmAFntNabwp4ZIHXG8oz/iQ/b2STnzeCKa3dys1CCCHCiOxMFEKIMCeJWgghwlyfTdRKKatSar1SammoYwk0pVSpUmqjUmqDUmpNqOMJNKVUqlLqVaXUFqXUZqXU2aGOKRCUUsM6/pt2/qpTSt0R6rgCSSn1C6XUJqXUN0qpl5RSsaGOKRj6bI1aKXUnMAZI1loXhzqeQFJKlQJjtNbVoY4lGJRS84H/01o/09GpFK+1PhzquAKp46iHfcCZWuvdoY4nEJRSA4BPgJO11s1KqUXAO1rrF0IbWeD1yRm1UmogcAnwTKhjEf6llEoGLgCeBdBat0V6ku5wEbAjUpP0EWxAnFLKBsTTR/Z09MlEDTwM3A24Qh1IkGhgmVJqbcdW/0hWCFQBz3eUtp5RSiWEOqgguBJ4KdRBBJLWeh/wILAHqABqtdbLQhtVcPS5RK2UKgYqtdZrQx1LEJ2rtR5N+wmItyqlLgh1QAFkA0YDT2qtTwMagYg+mrejvHMp8EqoYwkkpVQa7QfCFQC5QIJS6urQRhUcfS5RA+cCl3bUbV8GLlRK/Su0IQWW1rq845+VwOu0n4gYqfYCe7XWX3R8/SrtiTuSTQHWaa0PhDqQALsY2KW1rtJa24HFwDkhjiko+lyi1lr/Wms9UGudT/vHxQ+11hH7t7JSKkEpldT578BE4JvQRhU4Wuv9QJlSaljHpYvo5kjeCHEVEV726LAHOEspFa+UUrT/t90c4piCwpNjTkXv1h94vf3/a2zAQq31e6ENKeBuAxZ0lAR2AteFOJ6AUUrFAxOAuaGOJdC01l8opV4F1gEOYD19ZCt5n23PE0KI3qLPlT6EEKK3kUQthBBhThK1EEKEOUnUQggR5iRRCyFEmJNELYQQYU4StRBChLn/D/kicfAnVocnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_regions(X, y, clf=svm, zoom_factor=1.)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Zooming out**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAD4CAYAAADxeG0DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nO3deXxU9b3/8dd3lkz2hOwJu7IobihoqSu4L1BU1NZqXarVttpe7e29t9uve2s3a3ttb696S8XeasVLrShoQVulooi4gIgoWyQhe0KWyTLr9/dHAmQg0eAMmTnk/Xw88sic75z5nk/OYx5vDt/zPecYay0iIuJcrmQXICIi8VGQi4g4nIJcRMThFOQiIg6nIBcRcThPMjb6cvUqTZURETkIub58jik+3gz0XlKC/P22HcnYrIiIYxVnlnJM8fEDvqehFRERh1OQi4g4nIJcRMThkjJGLiKSDMYassjF5/JhGPC8YdJZLIFogE7asWZo80IU5CIyYmSRS25mLrgsKZrjYMEX9UEX+Gkb0kc0tCIiI4bP5UvtEIfe2ly2t9YhUpCLyIhhMKkd4nsYDmroR0EuIuJwCnIRkWH2yvNrufbsG/j0Wdfxp/96JO7+FOQiIsMoEonwq2/fy88e/DGLVv6e55b+g8ot78fVp2atiIgM4PNX/CutrV0HtOfnZ/Lf/3f3R+73nTffZfT4CirGVQBw9rzZvLhiNRMmj//IfQ45yI0xC4G5QIO19ti+tu8CnwMa+1b7hrV2+UeuRkQkRbS2djHl8786oP29/74jrn6b6psoqSjZu1xcXsw7b26Oq8+DGVp5ELhwgPZ7rLXT+34U4iIiH2DA5yTHOZNmyEFurV0FtMS3ORGRka24rJiGmoa9y421jRSVFMbVZyJOdt5ujNlgjFlojBk12ErGmFuMMeuMMeuee+z5BGxWRMR5jjphKtWVu6itqiUUDPH3J5/ntPNOjavPeIP8d8CRwHSgFhj0DIC19n5r7Uxr7cxzrpwd52ZFRJzJ43Fzx/e/xFev+xrXnftZ5sw9i4lTJsTXZzwfttbW73ltjHkAeCquakREUkR+fuaAJzbz8zPj7nvWnI8xa87H4u5nj7iC3BhTbq2t7Vu8DNgYf0kiIskXzxTD4XYw0w8fAWYDRcaYauA7wGxjzHTAApXArYegRhER+QBDDnJr7dUDNP8+gbWIiMhHoEv0RUQcTkEuIuJwCnIREYdTkIuIDLOf/NvPmT/jCm44/+aE9KcgFxEZZhddcQE/X3RXwvpTkIuIfIDWlja+87lv0LZ7aA9CHooTPnY8OXk5CetPQS4i8gFWPraccNV7rFicujd3VZCLiAyitaWNV5ev5NcLynl1+cqEHpUnkoJcRGQQKx9bzrxJhsml6cybZFL2qFxBLiIygD1H49fMyAXgmhm5KXtUriAXERnAnqPxwuzeO5kUZnsSdlT+vS/9iC9e/mV2bq/iilmfYtmjT8fVnx6+LCIygPUvvc4/anp4ZENNTHtB0+tceetAt54auu/c+824Pr8/BbmIyAB+uOjnyS5hyDS0IiLicApyERGHU5CLiDicglxExOEU5CIiDqdZKyIiw6ihpoEffeWntDTuxuUyzLv6Eq747OVx9akgFxEZRm6Pm9u+9XmmHDuZLn8Xn5v3BWaeMYMJk8d/5D4V5CIig1jz/FqWPLyE2qo6yseWseDTC5g1+5S4+iwsKaSwpBCAzOxMxh85jsa6JgW5iEiirXl+LQ/cdz8T5lcwbuKxtO7o4IH77geIO8z3qK2qY8umrUybflRc/ehkp4jIAJY8vIQJ8ysomJSHy+2iYFIeE+ZXsOThJQnpv6uzm29/4Xt86dtfJCsnK66+FOQiIgOoraojf2LsU3zyJ+ZQW1UXd9/hUJhvf/67nHvpOZx54Rlx96cgFxEZQPnYMlp3dMS0te7ooHxsWVz9Wmv56X/8gvGTxvPJm6+Iq689FOQiIgNY8OkFVD5RQ8vWNqKRKC1b26h8ooYFn14QV79vrdvIir88y+svv8FNF93KTRfdypp/vBJXnzrZKSIygD0nNJc8vIR3q96nfGwZn7v1lrhPdB5/8nG8UPlsIkrcS0EuIjKIWbNPSdgMlUNJQysiIg6nIBeREcNiwSa7iiGwfbUOkYJcREaMQDQAUZPaYW6BqOmtdYg0Ri4iI0Yn7dAFPpcPg0l2OQOyWALRQG+tQ6QgF5ERwxqLnzb8qXxEDhzsvzFDHloxxiw0xjQYYzb2ayswxqw0xmzp+z3q4DYvIiLxOpgx8geBC/dr+xrwnLV2MvBc37KIiAyjIQe5tXYV0LJf83xgUd/rRcClCapLRESGKN5ZK6XW2lqAvt8lg61ojLnFGLPOGLPuuceej3OzIiKyx7BNP7TW3m+tnWmtnXnOlbOHa7MiIoe9eIO83hhTDtD3uyH+kkRE5GDEG+RLgev7Xl8PPBFnfyIicpAOZvrhI8DLwFRjTLUx5ibgJ8B5xpgtwHl9yyIiMoyGfEGQtfbqQd46J0G1iIjIR6B7rYiIOJyCXETE4RTkIiIOpyAXEXE4BbmIiMMpyEVEHE5BLiLicApyERGHU5CLiDicglxExOEU5CIiDqcgFxFxOAW5iIjDKchFRFJYNBLlvTe2sH3zjkHXGfJtbEVE5NDatHoj1W/vjGlrrW3impOOZLw3b9DPKchFRIZZfVUD6x59gax03942ay0zyvL41uWzYtZ1u1y43S7IrRi0PwW5iEiC1OyopbuzJ6Zt49PrqPDFRm1uupeFN56L1+NOyHYV5CKH2JsvbuCZxStorGmiuKKIC686n+mnH5/ssiQOdZV1bHphQ0ybf7ef43N8HFtRENN+w2UfY3Rx/iGtR0Eucgi9+eIGHv3DYiZcWs6ECUfTVunn0T8sBlCYO0AwEOTv//MMPmxMe1Y4ws8WnIrLZfa2uV0usjJ8+3cxLBTkIofQM4tXkH6kh7cefZeeliDpBWkUTyvgmcUrFORJ1N7STltze0zbtrXv4qnfjde7LxZtJMIPLp7J2NJRw13iQVGQixxCW9ZvI63BzbjLSsgel45/Z4Cqx+uJNDYlu7QRIdAdYO2Ta7DR6N62SDiCrW5kztFjY9Y988gyPjb35OEuMSEU5CKHyJsvbiAcCXHEvFJyj8wECzkT0xkzr5gt9+9KdnmHnTWPr6azpjmmrafNz7fmnsyo3MyY9uL8kzHGcLhQkIskyP4nNdubO7AW0nI8RAJRXGmGljc6qHuhhUgoyk++/Aud+PwQwUCQlvrdMW0tNc1UPvcGBblZe9ustZx/zDguOXv28BaYIhTkIgkw0EnN7fdtx5PuJtASwuVx0bqpg+bXOhh9cRFpWR5yvRk68dnPhufX42/piGmrf7uS844aQ/9j54r0NL5329zD6og6XgpykQRY/LsldFo/bzzwDm6vC+MxREIRoqEo7/1+F1kVPrrrgqSXpdFTH6D45ELyi3PhUkbkic/Xlq9l9466vcvdXd0sOGY8M48ZE7Ne0WlHkZmeNtzlOY6CXGQ/Bzvv+80XN1BXV0d6SRqBziCeDDejzyli1NGjqX6mgd0b/ZSeMYr00jSiQcuuZU0Ul4ehGPImZPNeTdUw/nWHTjgUPmAmyO76FjY/tZbCfmPU1sLpk8q46trZw1zh4UtBLtLPh837HijkH/rFn0gr8DD20mJ2Pd1ExXmFpOV5CHaE6KoOMPFT5aTluDHGkF7uw3u5l8qnd1F2YhFtlX6KK4qS/FcfvHfWbKJjv9CufmMbZxxRiuk3EDI6zcPXv3Bx7yXmcsgoyEX6eWbxCiZcWs6oI3MBCLQH6ez2c+//+x0mbAi7Q7jSXKQXemnJjPLbu35HT3OA0RcWsevpJjq2deFdUII7w0WoPUKoPULB1Fy663soKC1kd1MLGaVpdDZ2s3tbO5V/reWTN16V5L96cFWbq9i44rWYIA50BbhgUimzJsXe+6PsxInkZmUMd4mCglwE2Dec8u6b7+HZ6iHSEybcE8G4DNFwFOMyeHM9TPp0BTkTM+ms6qFqaSOFJ+dQ+1yIts1djLushF1PNxFqD/eeiLOQXZJJ21Y/mQUZZGZnAAXUrK8n4o+ye2U3n7zxqqSMj3e0+mPmVoeCYV7643MUpHtj1ivOSOMPn5mNy6Uj6lSmIJcRr/9wyrhxJdS/spvRc0sIdURofr2d7togYBl7SRF5U7MxLsidlMm4+cVULW3ERmHM3CKyx6VTduYoqp9uZvSFhXgzPBRNG8WOP+9i2jWTiEaiBOpDdKwJcPv3vzAsAV6zrYba7TUxbfXv1TDRBTmZ6XvbDJZ7rjyVklE5h7wmSTwFuYx4/YdT1t2/EU+Wm51/bcRGLOXnFFB6Wz6vf2srmWMziIaiuH0uMJA1PoOe5iDGQE9dgKwx6eQelUUkEGXXsia6qgMcdeJULrjkAt5bvYVXH3uH4oqiQ3IU3uXvZtVDKzH9bgliraXURrnutKNj1h11/gmMKUntS87l4CjIZcRrrGliwoSjqXujCRuxjLu8BE+6i2BHmF1PN5NR5sO4DMH2EC6PweR7cKW58O/oIhq0lJyRT+PadqyFvCnZZJanc8RFYwiv8/C1//xqXLUFA0Ei4UhM2ytLVuNu66T/NOpoMMQvrzwt5iIZGTkU5DIi/fYb97Fu9WuEesK4vS5W3PESGEvhKblkVfgINIfIm5wFUdj2UA02Ytm6sAZ3pguDwZ3hIrA7RLgrQldVgJyJGTSuaad4WgH43dS90HJQJzE72zvZ+sbWmDb/bj/db1cyviT2FqjXHzeBj+93nxAZ2RIS5MaYSqADiABha+3MRPQrcij88OafUFlTSemcfNq3dDH6giK82W66agM0rG6lYU0ruZOy6NoVwJvtxrgMx39jIh3bu6l7fjeFM3PxZrupebaF8ZeVkl7opfqpJgJ1IXb+ofkDh0+stax+bBX+xtaY9lBLB186+7iY2SFpYwo4fvaxuoJRPlQij8jnWGt1SzdJWW++uIH/e+Av7NxWzZHXltPwUitjP9F7V8JosHdwueKCQmr+1kzRzDzC/giB1jC+Ii+RoCX/mGzSRnmpfrKRKZ8fg68ojV3LmzjmtglwieH9Pzby00d+uHd7m1ZvpOaVzaSl7ZsJEgqGuOHjR3HaBScO958vhzENrciIsGdmSs7pPrwNbvKnZVG1tJHMit4HARiPwQLeHA+BlhBun4vWt/00vNRKyWn52IjF5XWRWeGjqy5Ax5YuMNBZ3U3jG200vdJK1B9i0/3L9m5zSnkB37/p/CT9xTKSJCrILbDCGGOB+6y19++/gjHmFuAWgJu/cwPnXDk7QZsW+XB7ZqZ00o6vwEtXbZD04jQ6d/aQPTEDay1unwv/jm6iYcv6H20n1B4ms8JHZ3WA1k2deDJddNf2XoJvDHQ3hvBme4h0hZlyRhlZ6YYfXzsn2X+qjECJCvLTrLU1xpgSYKUxZrO1dlX/FfrC/X6AP7+9yA7UichH8WH3Rmnf3cHWt7Zx9mdPoaeui+JZ+VT9tYH847KperKB0rNGsXu9H2strW93klmRRmZ5OhYINAXJOyoTT4abnsYg/h3djD4zHxuI0ryujRPOKyCUZnj38V08dNu1ydsJMqIlJMittTV9vxuMMY8DpwCrPvhTIvH7oHujFFcU4W/tZM2y1bhDId5btp22aj/GAybNsOtvTYTawvgre/DkuMmqSKf87AI6tnaROzmTjDIfTa+3sfX3NURDUbwuIGwJtAVp6LGkG8v6R+s4scyDtynEpNHOu2eKHB7ivu7WGJNljMnZ8xo4H9gYb78iQ/HM4hWUzS6gaUML25bupGlDC+58eOiuP9Lz3OtM21lL7Zo3ufH4bKqerSNvQhqTzy2k+ORcfFkevFlujru+gmm3j2PSjRWMubiI3KOz2LG4jvceqMa/tZtoKIqvJ0JWIMJN09wsm+/jhsluMiKW3HCUv3wik5tPTOPf730s2btDRqhEHJGXAo/3TZHyAA9ba59JQL8iMcKhMH///TOkhffdI6Ry/Q7G5BQx49KxuPqm7kUjUV768bt886oz+eWfVnDd9AyuOymLJ95qJ2N1C6880URRhsHuDnPeBA9rnmqk4uJCXGEfrbUBml9po3B6DnlTMql6qom8cASfD/LTXXz2xDSmFrm48+Ne1u6KcFyJi5PvbyM/3U1j9w6a2zopzNNFOTK84g5ya+124IQE1CIjVHtLO021LTFt1W+/T7Sylqx03962qLV8/ZwTmDy2eG/bjk2bSD85E2/6vq9yy04/R5QX0tTq56kXXmXxVTn8Ye1uPneil/aAJS1gqWqLkOmBf1aG8XrC1D5WT54PstIMtERw9YRpXN/BGflROgpc+DyGE8vduA2809j7D8mMCjdPbQlzbFk6S28exy9XtbHoqdV85RrNVJHhpemHMmzCoTAvL/kn4WB4b1s0aonWNjP3hAkx6549rpBZQ5hrfcf82fz7n5+E+VA4IZvmSj/bn6jnZ5+ax++WPM+MUX7C0Wye3NjOvRd6+eLyAP9xqo8vLO9mapGbd5sijM+Dq451c+esNO5+OUj0CBfXneDlN2uDBCMu/ro5RHk2rNwW5rkdYRo7LXnphpZuizVuagLpzPxtAwAV9e8pyGXYGWuHfwKJZq0c/l59ag0dlfUxVyV2tXfyjYtnUlGUG7NuTqYvrtukPr1mE7964nl21LUwsayAO+bP5qJZ05h+7fdpbm4hatwsmGpIc0NRpuGFyhDVHfDoggw+uaSbytYoWV5D1FrSPYb/vSyDwkxDR8Dyb88GOKXCRWGmi09M9TA+z8VvXg3SEXJRNCofRs9QcMvwyK2AYxcMeJmvjshlyMKhMLWVdTFtHbs72Pa3dZTkx97+9IwpFVz+meGZU33RrGlcNGtaTFtTq5+CTDePXjWec+/bxcqqNDo7O7nrHB9v1ke5c5aPqUUuPnO8l7tfDmCMJd9nmDvFS16GIYohywcnlrl5aH0Qt8vw+zeCdIUMLpchiovRRQEdgUtKUJDLgN56YQO7a5tj2hq37GL+seNw9zt69nndfOe2eSn3KK+Hlr3E3Ekuppb4uPOsQu75526uPc7L/24IUpzp4sbpHoyBG6Z7+OOGEO+3RinNMvyjMswT74bpiew78PF4vYwu6v2H6piSIpbefXuy/iyRASnIR7iqzTt5+5l1eL37vgrBniAXTSnn7FlTYtbNPft40n3e/btIKU2tfm78wSJad7fw+KfzADh/so8frehh2RYXVW1RPnOCl5oOqOnoPWk5Z4Kbh9ZH+cEcH3MmenijNsq3XsniL3ffqRko4ggK8sNU465GIpF90/Qi4QivPfZPSjJ9MeuVZqWz8PqzD5tHeT207CWaat6nLNdLUXYhAH9c28TVx3q5dUYad/yth2VbwizfEibTazAGPAZG57j4zdog847OZHJxhLMqgpqBIo6hk50OV72lmp1vVca0NVU1cEJOBkU5sQ/C/cTJkyk+TB/l1dTq54YfPEhLcwueYCvvt1lG5eXgcbvYVtNChsdQkmVwG6hsi+J19d4kq/+Zo0DYkulzA+B2u5g+daKGUSR16GSn83V1dPHCopV4+9+b2kKxy/LVc2Kn8WfOOIKi/OxhrjC5Hlr2Etu2v8+EfEPAZThpTAZnnHk6X7nmfKZf8z3mlPu58QQPHpchYi3/81qIZ7eHueHjJbjHztSRtzhaUoJ8/fPrk7HZ1GOgeFwJvozY4Y43l79Khr875lFeNhLhngWn6lFeA2hq9fOX514hNy1Ka1eUX16YyRWP+qld8TLXzz2NcWWFLNvezbL3AmSnGRo7wxRnuhib5+LiIy1fWvkq1889TePh4lhJCfJNK7YlY7NJ1dnVxca3NsS2+f18+eqzKd/vQbi3HDeOk6eMHs7yHO2hZS9R7O2BbMPHx3h48f0Q4/Jc9HT5WfTUapbefTuf+NffUNPQREtHN1cc4+JzM3r/8fQSYu4kn8bDxdGSMkb+wKrth+0YubWW159cSKg1dr51tKOJr847Bq/HvbfN7TIcMbpIj/KKQ1Orn6v+/deYnjZ2NAe596J0fvxigHsvSufyR7s4YsJ4/v5fX9m7/p5A31+FphVKqtMYefxCwQA9XZ0xbTWbX6P9rZVkpqftWy8U5rrTJ3DqtOnDXeKItGe+ONEcCHbxbnOU+VM9HFfq5brpPt4Kxw5bKazlcKQgH6Kl93yVrvrKmLaKolwuP+vA+4U1t3VirdWR9jB4/vX3qGkIsKupAxuN4HNbFl2awTuNYS6Y5OHRpZW6I6Ec9jS0MkT+tt20NtUPbd3mOhpfWUJJfuqFR166m69f+TE8/YZ4Dhe//NMK2PUaXzkzb1/bqjbdD0UODxpaiV923iiy80Z9+IoARx7FUafMPqT1fFQN1du56YGFMcNBqcIdbOf7V59CmuejfS2ffXUztY09/HF9T0x7ec1mbrnsrLhqy/B5U+42BCJ76IhcUkZrUz2b/5GaT9npqd3CJ2eNJRUHy049ZpyGjkaCDzgiV5CLDEF3Zwd1O7cnu4wDWGup/MefGJubWv9bsNZy8YzxzNnvPvMSBwW5HI7uuv1q/P6OvcutjXVY48JlXOQV7nsQcnZ2Dl//zSPJKHFEe/3Jhbhadya7jAOEIxHOmZLL5adOTXYpAxr0/JXGyOVw5Pd3cMTN9+5d3vCbL1Bxw68INO1k9ITJe9u3/8+XklHeiHfSvM8mu4RBrXlxGcv/tDnZZRygp8vPiQVBZh5ZeMB7o8oCnHTswJ9TkMthIxIJEwoGiITD7KrcQiQcAqC5voYvzj0F6L3VgY1GKCwfE/NZHbWPLEeffgmcfkmyyxhQTeUWnmnbfUD7WAo5aZDPKMjFcfYMqTTXVtFy11UARENBAGof+sp+a1uIRhj/Lw8D0N2wk8alP405kgcdtUvqqOj3v8n+yvLSB/2MglxSXv+x8ObaKnB5cGflg8uDje6557rFuPc89MIQ7WkHa3vfd3nY8etret+KhsHl4fVf3YzLm07xJf8CQFvzgZftiziFglxS3vtbNmE8Pmw0Ai4PpVd9f+97noLRYAw1991MySd/iLdwLDYcJNxWj7dwLHWL7qTwoi+Du/er3vDot3Bl5GLcHkKtdfiKxgEQtdEBty3iBKk1Z0lkIG4PY25bROnVP8aTU4S3ZCJppUeAMb1H4f1nXu332tK7nFY0Dm/BGNxZBZR95m7KrrsH43IRCgYIBQNEoxHuuv3qYf7DRBJDR+SS0u66/ereYe6+MfA9Bps2a1wubGTPwuCX7+y5D47xpPUtu2OmMoo4iYJcUprf34FxuXB5h3ZLgcECfv/2aCiAjUapXXRH3wqRAT4l4gwKcjl8GEOouQoiYQBsOAjRCJbeO1H2D3OX14dxuRh7468BqHnwjqSULJIICnJxBNt3MtL4MqhbdCcA4Y6m3qGUaBQbCdHw52/2rb1nSMUSDQVpWPxt3Fm9NzwzHh/hll1gDDYa3Rvg7vRMIHb4RsQpFOTiCLv+68beWSv9RSO4svJxedMJtlTjzszD7d73lY5Ewtj2JtwuF7and/zb0kHD4m+TlldMZul4jrn57r3ray65OJWCXFLezK8v3vt6sMvwX7/rSvKy9r9gwkN26dEHXLG5b156MCa8s7NzDkX5IoecglxSWnZ2TkzYhvwtBJp24nbH3lgov7iMHz341JD61KX4crhRkEtKG/Bo+tn/BKD/TWV1NC0jmYJcHEVH0yIHSsiVncaYC40x7xpjthpjvpaIPkVEZGjiDnJjjBv4LXARMA242hgzLd5+RURkaBJxRH4KsNVau91aGwT+DMxPQL8iIjIEiQjy0UBVv+XqvrYYxphbjDHrjDHrVi3VOKeISKIk4mTnQHcmOuCGF9ba+4H7Qc/sFBFJpEQckVcDY/stjwFqEtCviIgMQSKC/FVgsjFmojEmDfgUsDQB/YqIyBDEPbRirQ0bY24H/ga4gYXW2rfjrkxERIYkIRcEWWuXA8sT0ZeIiBwcPepNRMThFOQiIg6nIBcRcTgFuYiIwynIRUQcTkEuIuJwCnIREYdTkIuIOJyCXETE4RTkIiIOpyAXEXE4BbmIiMMpyEVEHE5BLiLicApyERGHU5CLiDicglxExOEU5CIiDqcgFxFxOAW5iIjDKchFRBxOQS4i4nAKchERh1OQi4g4nIJcRMThFOQiIg6nIBcRcTgFuYiIwynIRUQcTkEuIuJwCnIREYdTkIuIOJyCXETE4eIKcmPMd40xu4wxb/b9XJyowkREZGg8CejjHmvtLxLQj4iIfAQaWhERcbhEBPntxpgNxpiFxphRg61kjLnFGLPOGLNu1dJHErBZEREBMNbaD17BmGeBsgHe+iawBmgCLPADoNxa+9kP2+gDq7Z/8EZFRCRGWV46806oMAO996Fj5Nbac4eyEWPMA8BTB1mbiIjEKd5ZK+X9Fi8DNsZXjoiIHKx4Z638zBgznd6hlUrg1rgrEhGRgxJXkFtrP5OoQkRE5KPR9EMREYdTkIuIOJyCXETE4RTkIiIOpyAXEXE4BbmIiMMpyEVEHE5BLiLicApyERGHU5CLiDicglxExOEU5CIiDqcgFxFxOAW5iIjDKchFRBxOQS4i4nAKchERh1OQi4g4nIJcRMThFOQiIg6nIBcRcTgFuYiIwynIRUQcTkEuIuJwCnIREYdTkIuIOJyCXETE4TzJ2GhRTloyNisi4lj5md5B3zPW2mEs5eAYY26x1t6f7DpSkfbN4LRvBqd9Mzgn75tUH1q5JdkFpDDtm8Fp3wxO+2Zwjt03qR7kIiLyIRTkIiIOl+pB7sjxqmGifTM47ZvBad8MzrH7JqVPdoqIyIdL9SNyERH5EApyERGHS/kgN8Z81xizyxjzZt/PxcmuKZmMMRcaY941xmw1xnwt2fWkEmNMpTHmrb7vybpk15NMxpiFxpgGY8zGfm0FxpiVxpgtfb9HJbPGZBlk3zg6Z1I+yPvcY62d3vezPNnFJIsxxg38FrgImAZcbYyZltyqUs6cvu/JzGQXkmQPAhfu1/Y14Dlr7WTgub7lkehBDtw34OCccUqQS69TgK3W2u3W2iDwZ2B+kmuSFGStXQW07Nc8H1jU96Q4+dUAAAGOSURBVHoRcOmwFpUiBtk3juaUIL/dGLOh779EI/K/g31GA1X9lqv72qSXBVYYY14zxjj2Kr1DqNRaWwvQ97skyfWkGsfmTEoEuTHmWWPMxgF+5gO/A44EpgO1wN1JLTa5zABtmj+6z2nW2pPoHXq6zRhzZrILEsdwdM4k5e6H+7PWnjuU9YwxDwBPHeJyUlk1MLbf8higJkm1pBxrbU3f7wZjzOP0DkWtSm5VKaXeGFNura01xpQDDckuKFVYa+v3vHZizqTEEfkH6fvC7XEZsHGwdUeAV4HJxpiJxpg04FPA0iTXlBKMMVnGmJw9r4HzGdnflYEsBa7ve3098EQSa0kpTs+ZlDgi/xA/M8ZMp3cIoRK4NbnlJI+1NmyMuR34G+AGFlpr305yWamiFHjcGAO93+uHrbXPJLek5DHGPALMBoqMMdXAd4CfAIuNMTcBO4Erk1dh8gyyb2Y7OWd0ib6IiMOl/NCKiIh8MAW5iIjDKchFRBxOQS4i4nAKchERh1OQi4g4nIJcRMTh/j9lw01x121NRAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_regions(X, y, clf=svm, zoom_factor=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Zooming in**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that while zooming in (by choosing a `zoom_factor` > 1.0) the plots are still created such that all data points are shown in the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_regions(X, y, clf=svm, zoom_factor=2.0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Cropping the axes**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to zoom in further, which means that some training examples won't be shown, you can simply crop the axes as shown below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_decision_regions(X, y, clf=svm, zoom_factor=2.0)\n",
    "plt.xlim(5, 6)\n",
    "plt.ylim(2, 5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 12 - Using classifiers that expect onehot-encoded outputs (Keras)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Most objects for classification that mimick the scikit-learn estimator API should be compatible with the `plot_decision_regions` function. However, if the classification model (e.g., a typical Keras model) output onehot-encoded predictions, we have to use an additional trick. I.e., for onehot encoded outputs, we need to wrap the Keras model into a class that converts these onehot encoded variables into integers. Such a wrapper class can be as simple as the following:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Onehot2Int(object):\n",
    "\n",
    "    def __init__(self, model):\n",
    "        self.model = model\n",
    "\n",
    "    def predict(self, X):\n",
    "        y_pred = self.model.predict(X)\n",
    "        return np.argmax(y_pred, axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The example below illustrates how the Onehot2Int class can be used with a Keras model that outputs onehot encoded labels:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 135 samples, validate on 15 samples\n",
      "Epoch 1/10\n",
      "135/135 [==============================] - 0s 907us/step - loss: 1.0485 - accuracy: 0.4593 - val_loss: 1.1127 - val_accuracy: 0.0000e+00\n",
      "Epoch 2/10\n",
      "135/135 [==============================] - 0s 198us/step - loss: 0.8551 - accuracy: 0.6519 - val_loss: 1.1561 - val_accuracy: 0.0000e+00\n",
      "Epoch 3/10\n",
      "135/135 [==============================] - 0s 167us/step - loss: 0.6599 - accuracy: 0.6889 - val_loss: 1.1097 - val_accuracy: 0.0000e+00\n",
      "Epoch 4/10\n",
      "135/135 [==============================] - 0s 168us/step - loss: 0.5326 - accuracy: 0.7185 - val_loss: 1.0635 - val_accuracy: 0.0000e+00\n",
      "Epoch 5/10\n",
      "135/135 [==============================] - 0s 155us/step - loss: 0.4369 - accuracy: 0.8444 - val_loss: 1.0050 - val_accuracy: 0.6667\n",
      "Epoch 6/10\n",
      "135/135 [==============================] - 0s 154us/step - loss: 0.3777 - accuracy: 0.8963 - val_loss: 0.9089 - val_accuracy: 0.8000\n",
      "Epoch 7/10\n",
      "135/135 [==============================] - 0s 160us/step - loss: 0.3363 - accuracy: 0.9407 - val_loss: 0.8491 - val_accuracy: 0.8667\n",
      "Epoch 8/10\n",
      "135/135 [==============================] - 0s 156us/step - loss: 0.3090 - accuracy: 0.9259 - val_loss: 0.7793 - val_accuracy: 0.8667\n",
      "Epoch 9/10\n",
      "135/135 [==============================] - 0s 165us/step - loss: 0.2795 - accuracy: 0.9407 - val_loss: 0.7046 - val_accuracy: 0.9333\n",
      "Epoch 10/10\n",
      "135/135 [==============================] - 0s 153us/step - loss: 0.2621 - accuracy: 0.9556 - val_loss: 0.6322 - val_accuracy: 1.0000\n"
     ]
    }
   ],
   "source": [
    "import keras\n",
    "from keras.models import Sequential\n",
    "from keras.layers import Dense\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from mlxtend.data import iris_data\n",
    "from mlxtend.preprocessing import standardize\n",
    "from mlxtend.plotting import plot_decision_regions\n",
    "from keras.utils import to_categorical\n",
    "\n",
    "X, y = iris_data()\n",
    "X = X[:, [2, 3]]\n",
    "\n",
    "X = standardize(X)\n",
    "\n",
    "# OneHot encoding\n",
    "y_onehot = to_categorical(y)\n",
    "\n",
    "# Create the model\n",
    "np.random.seed(123)\n",
    "model = Sequential()\n",
    "model.add(Dense(8, input_shape=(2,), activation='relu', kernel_initializer='he_uniform'))\n",
    "model.add(Dense(4, activation='relu', kernel_initializer='he_uniform'))\n",
    "model.add(Dense(3, activation='softmax'))\n",
    "\n",
    "# Configure the model and start training\n",
    "model.compile(loss=\"categorical_crossentropy\", optimizer=keras.optimizers.adam(lr=0.005), metrics=['accuracy'])\n",
    "history = model.fit(X, y_onehot, epochs=10, batch_size=5, verbose=1, validation_split=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAD4CAYAAADxeG0DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nO3dd2BUVdr48e+ZmRSSSS8koQVI6CBNREHFCigCIqKA+lpB17K8uq+6q+u6xV111Z+uXXexrS6ioFhA2orYECyI0kJJIJCEEBLS28yc3x9DYhKSSZlyZ5Ln88+Sufee+4wbHy/nPM89SmuNEEKIwGUyOgAhhBDukUQuhBABThK5EEIEOEnkQggR4CSRCyFEgLMYcteMNVIqI7qM3PxjrCo4zuCxQ40ORQSwyJBohiaMUM0dMyaRF+w25LZCGKH0UD4/HywgLD3M6FBEAEsI687QhBHNHpOpFSGECHCSyIUQIsBJIhfCy2psNqNDEJ2cMXPkQnQhf/v4O869Y6bRYQhAaUU4kYSYQlA0u25oOI2m2lFNOSVo1ba6EEnkQnhZSEwE4ZHhRochgHAiiQyLBJPGT/M4aAhxhEAFlFHcpktkakUI0WWEmEL8O4mDMzaTdsbaRpLIhRBdhkL5dxKvo2jX1I8kciGECHCSyIUQwse+2bCZq869lnlnX8Obz/3H7fEkkQshhA/Z7XaefOBpHn31r7y29l+s/+BTsvYccGtMqVoRQohm3Dz7Lo4frzjp8+joMF549/EOj7tz62569EkhpXcKAOdeMokv1nxJanqfDo8piVwIL9Ja45DtFAPS8eMVDLj5yZM+z3hhkVvjFhwpIDElsf7nhOQEdm7d5daYMrUihBf9dfnXDDhzmNFhCD/S7D7JblbSSCIXwotyK6rpd0p/o8MQfiQhKYH8nPz6n4/mHiU+Mc6tMSWRCyGEDw06ZSCHsg6Tm51LbU0t//1wAxMuOMOtMWWOXAghfMhiMbPoT7fzm2vuxWF3cNGcKfQdkOremJ4JTQghOpfo6LBmFzajo93fIGT8Oacx/pzT3B6njiRyIYRohjslhr4mc+RCCBHgJJELIUSAk0QuhBABThK5EF5UVVNrdAiiC5BELoSXvLJuK8njBhkdhugCJJEL4SV78ooYeJokcnGyh//v78wYM5trL7zRI+NJIhdCCB+bOnsyf3/tbx4bz+1ErpTqpZT6VCm1Uym1XSn1a08EJoQQ/uB4YTF/uOl3FBe1bSPktjjltBFEREV4bDxPPJHbgLu01oOB8cCtSqkhHhhXCCEMt/adldiyM1izdKXRobTI7USutc7VWn9/4s+lwE6gh7vjCiGE0Y4XFrNl5VqeuiyZLSvXevSp3JM8OkeulEoFRgHfNHNsgVLqW6XUty+t+NKTtxVCCK9Y+85KLklTpHcP5ZI05bdP5R5L5EopK7AMWKS1Lml6XGv9ktZ6rNZ67IIZEzx1WyGE8Iq6p/H5YyIBmD8m0m+fyj2SyJVSQTiT+Jta6+WeGFOIQGez240OQbih7mk8zup8t2Cc1eKxp/I/3v4Qv5p1Bwf3ZzN7/JV8/PYqt8Zz++2HSikF/AvYqbV+wt3xhOgM9h06So4yMTpIXjAaqH786ns+zaniP9tyGn0eW/A9ly+c69bYf3j6Preub8oTv2UTgKuBn5RSW0989juttX9OJgnhA1l5hfQ/fbDRYQg3/OW1vxsdQpu5nci11l/g9tahQgghOko6O4UQIsBJIhdCiAAniVwIIQKcJHIhhAhwUhslRBe39YttfLJ0DUdzCkhIiWfKnAsZOXFEq+cNGJpOxvY9rV4nGsvPyeehOx+h8GgRJpPikrkXM/v6WW6NKYlciC5s6xfbePuVpaTOTCY1dTDFWWW8/cpSgEZJuel5+9ccYvXHqxkyP41Th7R8nTiZ2WLm1vtvZsCwdCrKKrjpklsYe+YYUtP7dHhMSeRCeEFxRTUqxv+rcj9ZuobUmcnE9He2ocf0j4SZzs8bJuSm5xXsKKLvlcmoKAcms6nF6wLdpg2bWfbWMnKz80julcRl8y5j/KRxbo0ZlxhHXGIcAGHWMPr0783RvAK3ErnMkQvhYbU2O29uzWLAKWlGh9KqozkFRKVaG30WlWrlaE6By/MqjlYRlWbFVlvr8rpAtmnDZl5+8SUizw3htAeHEXluCC+/+BKbNmz22D1ys/PYs2MvQ0a6t5OUJHIhPMxmtxOdEofJ7P//eiWkxFOcVdbos+KsMhJS4l2eF5YQSvHeMixBQS6vC2TL3lpG6owUYtOiMJlNxKZFkTojhWVvLfPI+BXllTxwyx+5/YFfER4R7tZYMrUiRIBo66Jka5a/uIK176+nqrwKs9lCWG4oQ6/pT1SqleKsMrLez+WK6+Y0umbKnAudc+AznU/e8UNiyFxymCHz03DYHS1eF8hys/Po3XdYo8+i+0awO/uA22Pbam08cPODnD/zPM6acqbb40kiFyIAtHVRsjXLX1zB6o9X0/fqZKLSrBTvLWPP4kNkvJYNOJ+8r7huzklj1v38ydI1ZORkk5ASz+SLJ5Px5R62vLOzxesCWXKvJI5nlhKbFlX/2fHMUpJ7Jbk1rtaaR+55jD5pfbjixtnuhglIIhciILR1UbI1a99fT9+rk4kZ5NwvMmZQBOnX9+TAG0d5ftU/XF47cuKITpWoW3PZvMt4+cWXYIbzSfx4ZilZK3K4aeECt8b96dufWbN8Hf0G9eWGqQsBuOnu6xl/zmkdHlMSuRAB4GhOAampjd+mGJVqJSMnu13jVJU7FykbjZNmpaq8feN0BXXVKcveWsbu7AMk90ripoUL3K5aGXHqcD7LWueJEOtJIhciANQtNtY9kUPHFhdDw52LlHVP5ADFe8sIDQ/1WKydyfhJ49xO3L7g/8vqQgimzLmQrPdzKdpXgsPuoGhfCVnv5zJlzoXtGueCmeeRuSSXol2lOGyaol2lZC7J5YKZ53kpcuEL8kQuhIdV19jw9Cv6R04cwf7tmax9zlltEhoeyrBRQ/lk6RreePItuoWH4rBpqqurXbbPz1o4A4C1b6ynqjyb0PBQRow6hYzte7hr9r0nVcO4qpTxVBVNW3nifhoNGv/fQUGfiLWNJJEL4WH3Lvmcsf9zgUfH3PrFNrZs3sLIXw0kKtXK/jWH2PbZjwyZn8bQ3n05vC2HvE+LGDAjlfL8Spft87MWzqhP6K6qYYAOHfNGMvdU1U61o5oQRwiYtP8mcw04FNWO6jbHKIlcCA/T3UKISYj26JiuWuTLikuJHR5JaFwIB1Y595dsa/u8q2oYoEPHvJHIPVW1U04JVECIKQTlp5lco6l2VDtjbSNJ5EIEgKZVK84W+R5UHqkCIDikG9Y+3ag46vy54TFoucKltWqYjh7zNE9V7WilKaOYsrbPWhijnf+NkcVOIQKAqxZ5S1AQ9mo7ZQcqCUsIbVf7vKsW/Y4e8wZf3y/QSCIXIgA0rVpxtsjnootNWKMiKPyphKx38+gzKaXRseYqXLZ+sY2H73iMu2bfS1lxGTtfzawfN/eno2z95y6yMw5TcqyUjCUHmq2U8VQVTVMNY3v4jsfY+sW2Zr+/p+7XWcjUihABwFWL/MF3MukWHkqUOYaDK/Jdts83t2iYsaSCA0vyKS3eR1VNFX0n96DfhT0pznIm+ex3j5JRnt1sG37DeNxt0W/LgqYn79eZKK0NmCz66ml/n6ESosMW/nsD59w63egwmvXwHY8Rc0G3Ro1FRftKKFpbCdDisXv/8RtDY/PF/f1dQlh3zus7pdnZc5laEaILcfX+8ba+m9yI2IRrksiF6EL8aQGzPbEJ1ySRC+FBtTY7FVXVRofRIleLhkYvKBp9/0Amc+RCeND9b31GwrTT6N4r0dA4GrazN23fj7BG8PMP2xu1+peWlTZ7bkut/t6KNSQkBJNFUVle5ZO2/0Diao5cqlaE8KBym41hfpDE66o/EuNPbt/f9tl+hlybRvchcRzZcYxtb/5In7N7cOpNg+t3+rn6lnmA99vwm6tUyXo/l6sXzZME3g6SyIXoZBq2s+cdPOKyfV9FOeh7ZTL564tIm9rb5234nmq97+pkjlyITqZh9YetthZziLm+fd/Z2m/FVltbfzwqzVrf2g++rWKRShXPkEQuRCfTsPqjtfZ9S1AQxXvLCEv4ZWMJX1axSKWKZ8jUihB+pOk7txsuNrZ1IbLhjvfW+Ihf5sgvds6RZy45zJD5aTjsDnSxicwlufQ5uwcOu6N+jvqK6+YA1I8TlWo96VhHv1PDBcyGsda9njdz9WFCg0N5+I7HZLGzjSSRC+Enmi78HdlxjNVvrqbP2T0YOrd97xwHGlWtuGrfn3zxZDK272HLH3d6vA2/tbb7hrFuy9iLI8TGsBucC7Hefsd5Z+KR8kOl1GJgGpCvtR7W2vm/uWG2vmfWaBJiIlo7VYiA8r+vr+e02y/t0LVNW9TzDh6horCS/PXFpF6ehDlSUZFTTe6qQgASz4siLLYbSb27A/7Zzt6etntp0XfNFy36rwJT2npyn8v/wO2vbiEr9xgOh8NDIQgR2Jou/DVciGxt0RL8c5GwPYuZsvDZcR5J5FrrjUBhW88PDQtn4k1/4c+fV3HjM+v57/d7MaQxSQg/0nThr+FCpDvvHDdSexYzZeGz4wyrWgkJ7cb4WQsYPv8PvFeUxg1PreaDTXuMCkcIj3DneaRpi3rdQmT8kJh2v3PcX7Sn7V5a9DvOYy36SqlU4KOW5siVUguABQBX3fWXMWdNn3vSOT+te5vSfd/xq/PTGJOejMkk1ZEisHyweTf/Lath/KUTOnR90wqPhu30Sils1TYwK8wWE/3T+2EJszRb0eKLao+27mrf1vPae25X42qO3GeJvKGXN+5v8aYOh4MfVr5O0d4fuOGs3pwzOp0gi9kjMQrhC1c/9zGTf3M5liD3isIaVnzocDt5u45y5LMiek5OwBzqfFqffPFk+g3tW39e0zJBbyXBhrH56p5dXUC9j9xkMjFm2rWcefPDrLSN5Zbn1lNdU9v6hUL4ifsvPpXP397g9jgN29fLSkuJHRFBn9ndOfJ5ITGDIuh7ZTJr31/f6DyT2URM/0hSZybXt9l7gxH3FC3zSCJXSv0H+BoYqJQ6pJS6wd0xQ0K7MXTc2aTP+j8WvPwNj7y7WRZERUDonRRNVWml2+M0rOJwODTmEBPW3qFUFdQAEJVmpaq8ypBqD6kw8S+eqlqZq7VO1loHaa17aq3/5YlxAWKTejJx4d8oH3AJVzyziWc/2MKh/CJPDS+Ex3ULCSaptpa8g0fcGqdhFYfJpLBXOyg7WEVofDAAxXvLCA0PNaTaQypM/Ish7yN3NUfemoO7f2Lf58vpH17BHdNGSVOR8Es7s/K4+72vGXfJ6aSPGeDy3OUvrmDNe+uoLK3EEmxB2zUajdlsISw+lKHX9EeH29m35iAFW0owWRTB0UHUHKvl4ssvanWOfPmLK1j7/vpm3z/edEHR1WJj0/eGV1PJgCv7NHtPWbT0PJ8sdraHO4kcQGtNRVkJ3y15nJRuNfx5/ukEu7mwJISn2Wx2nlr5LT8eOc6oy84kuW/SSecsf3EFqz9eTeqcJEK7B1G8t4K8/xaSck48wdEW9iw+RHR0DFVl1dRaqkmZEke3pGCqjtRwbEM51//6WpeJs278vlcmE5Vm5fieMva9dZiEgbGcct3AZt+t0tx/EJo7tvPVTKxW60mbQMhCqHd0ukTeUEHuQfa+9zh3TB3KiLQUlGr2ewphGJvNzt+Wf0VRRTX5GkZdMp4e/VMAuGXqHfS5OgFr31CqCmsIjrJQfria7A+Ocspd/SnaVcqBN47SJ713h9rX68aPGeT8m2tttY2S/eXsfy2XC5+c0GgcoMV7uDomrfa+0al3CIpP7o3livt4bst/4ZM1XHZGOheO6Wd0WELUs1jM/H7OmQDsP3yM9z/fxooVXxERF0llSSXW1G6YlUbbNKYQExF9ulFT5KzUci5oZnM0p4DU1MGNxo1KtZKRk+3y3lXlzlb+Olo7iOwfRm2lvdlxXN2jrffvaKyi4/yu/LAjouMSGTvlSkZc/ygrcmJY+PwGvsvIMTosIU7Sr0ccd156Bv+aP4mHzx2Oya7IeCUbVetAWRSOagelByoJjnG23ru7oBka7mzlr6OUiZJ9FQR1+6U3oy3vH5dWe//WKRJ5neCQUEZOvYrRNzzCiz86mP/EWr7bdZBam731i4XwobDQYGIjwzl7SCoV2VXsfiOHI58WkruhkMwluSSeEU3RrlIyl+RywczzOty+fsHM88hckkvRrlIcNk3p/kr2v5VLwrDYk8ZxdQ9ptfdvAT+10hyTycSply6kqqKcxZvWUrpqLReP6sUVk4YaHZroIlZt2sGTKzaQmVdI36RYFs2YxNTxQ046L8gEkRWKop0V2GvsaA2OWgd7XzlMeGwYky+bzPlzzuWVB15m+uXT+Wzlxna9G3zWwhkArH1jPVXl2YSGhzJq1ChKy0o79P7xtrybvOE7xjv6HnPRPgG/2NkW1VWVHPjpa6yZ63hg7hmyICq8atWmHdy95EP6zehOXKqVY1ll7F9xhEevvKTZZN6U1prcghL++N7XOMJC2ZmRhSN7D+nTJjP1+mk++AbCH3XqqpX2OPDzN2R++QHnpYUxY3w6cVHhRoQhOrnJv32O0AvDSGhQtXF0XwlVaypY/bdftWusguNlXHjbY4xL0azMqGXqRWdRGRLEqBmn1z+QxCfHuf1eF+H/OnXVSnv0GXYafYadxp4fvuBXr6/ijF5BzJ80mPhoa+sXC9FGmXmFTExNbPRZXKqVL/IOtXus1z/+iqtGhHDnWVE8sbEYwk1MnzSSzzbvAkADH+w6RNLQ1Pprhp87kgj5ne5SulQir9Nv1ET6jpxAQW42v/738/SLht9fMV6aioRH9E2K5VhWWaMn8mNZZfRNim3XOAXHy/josy0sneOsAb9mdDhzlm7hf6ZN4IYLR9efN/fMoRwrLgegxmbnry98iCnC+bfN2lobo2dNpHvvxJNvIDqNLjW10pKCnAPsXLmYgdF2Fk4ZLk/owi11c+R9LkmkNLiaiJoQDnyY32iOvOB4GQsf/jcv/fbqFqf4nnhzDRz+jjvPiqr/7E9ri3g/Q7P2mf9t09Rgrc3Og0s/p8zmoNZmx9w7kUETnIv+yqSITYxpdL601vsvmSNvo8MZW9nz1SfMHGDh8rMGt36BEC1YtWkHd760nMP5RfRIjOGJBbMaLXQ+8eYaPlr7GdMuOJs75zdfljf9rmfIyW/8NsHC0kpig2zMmzm5xetcWb91PzsPHwOguLyKHZU1dO+fDEDm7oN8+dkmUqclkzI+UVrrvSR7dza5ew+3+7reyb1ZdPVvJZG31Y+fvIk+9AM3nT+IkWnJRocjAlDB8TLm3P0Uz08L45aPKnjn74vqn6BdHevomB11pLCE4rIqAK5//C1CJoZyPK+aqloHSkFlUTVV+2xMnjrRrfu0JDgyjLPmn+vT3cC2f/4Th3/cDwZUr2mt6WUxcdWE9j8odovvSa/zF8piZ1udMmU+Dsdcnlv2HLUr13P/rBGkJsdhNneq/inhRa9//BXT0kwMTAxhWloVr330Zf0TtKtjHR2zo7rHRtI91jmXn19SxsSxPenb4PfcYXfwxZ92sfiqSW7dpyU/7M3hxSeXE+TD9anhyTH8+epzfHY/j4lsuTNWEnkLTCYTp15+G1UV5Tyy7m3sh9Yx54x+TB6bZnRows+5WqTUWrd4zNXTtasxPVVG66lF2vYYlZbCC2kpXhu/qzA/+OCDPr/p9weKfH/TDrIEBdNj4ChiBp7O5oMVvPvhGszAgJ7e++UWge2FZRsYEJTHeelhAIQFmzhWWsOPeTZ+3JPd4rHTR/Tv0JiurmuPeGs4S5d9T0hiEN2igijILGX/iiP8fvZk0nsmeOQewg0hEZA45I/NHZI58g74YeXrTLDmMnviQEKCg4wOR/hQW6pN6hYpyytrOFZcTnx0OKHBQRSV1zCoTxJHC4uw2R3kFpaTHBuOxWwiJTGeDx6/DYDdB44w5ddPsebpRew9XMCTKzawaUcWjlo7yqxwaE2wxUyc2cLg1JT66zyhra8WEAaITIFhl8lipyft3rSarC3rmDk8hovGpREbKV2iXUFbqk3qJE29i5QwOzkVZu6+anKj61yNc+ndz3Jw/15CYpIpDdf0m9GdyuIaflh1gKRzYhkwLAnb0dp2tf2LTsBFIpfVuw4aOH4yF9z6CDuTpnHr4s38+T9fUVNrMzos4UV189TPz4rno8+21DfhNOftdd8RomwsntGNEGXjlQ821l+XcTC/xXF2HzjCT7v28crMcH7OzaPnxfEk9I9k18Zc+s5OJm54JAWlznnsfjO68+SKDT745sLfSSJ3g8lkInXQCM697TEsExZw08ubefTdzdjktbmdUuOqEROvffRli+f++vG3uGp4ECOTzFw1PIj8otL66+555p0Wx7n32XeZN8zCiKQgQixQEVoDQNnRKqy9u2EJNlF94oEhLtVKZl6hd7+0CAiSyD0kPqUPExc8RFn6NOY9v5lnP9hC9pEio8MSHlL3NH7NaOcU2jWjw1t8Kq97Gr91XBAauHVcEKEW+GRHCRcPDOWnXfuYNzLspHHqnsZvGRcKwNAEMwVZJVTV2LAmhFJ2sBJbjYOQE6V63q4oEYFDqlY8LCqxB/1PPZccEnl75UbSYkwkxUYYHZZwU3uqRs6/9XGuHWFm5qBg0BARrCio0Px1QzGx4RbSo2yc2iMIa1hIo3EWf/gF5yeVMn1gCADdQ2HpZ2VUWTW9+8ey84NDmMNM9OoVS9mhSqko6WqkasUYDoeDb95+kqCyHP5y5VgSYiSh+6vWqlGaa5cHmq02KSopI9TSeE3KoTWVNggLtmAxaUxKYbM7SIyNJMhiIiE2hm+2ZxFi1phMv1xbZdPUhJhJTojBGhyMyWKipKLKrYoSqUwJUC4WO6UhyItMJhOnz72TqopyfvPei4SUHmTh+QMZM6i30aGJJl7/+CuK8rJb7JZsS4nfvc++S6ylkpFjB/Leo7c2Ota0SqWuMqV3r+689+itPPHmGqqL89tUDeOOhpteTExN5FhWGXcv+RBAknkAkzlyHwgNC2fi/DtJv/x3vLwvjpue+oQ13+03OixxQnuqUVrSsNrkp1372JOd3+L4m37ObHTuN9uz3L5/Wz25YgP9ZnQnoX8kJrNJql86CUnkPhQdl8iYyXMYvfAJ3j8cxYLnP2Pb/jyjw+ry2lON0pKG1Sbzhlm4++l3Whz/lkfeaHTuzQ+/7vb92yozr5C41MavaZbql8AnidwAFksQoy66hjHX/41H1h7mo693UVJeaXRYXVJ7qlFa0rTa5JZxofVP5U3HnzMslKJjx7hiePCJn4MpOnaMOcNDO3z/9qh7n0pDUv0S+CSRG8hkNnPWdffzqR7Dwpe+4h/vb6FWatA9puB4GZfd+4LLpFj3tBxvdS4XxVstjE2w0W/W79i8IwtwJuq+M3/Hnuz8Rn+uO3b6jQ8zfYCZIKW4bEkJwSbFvGEW/veJt7nwjieZ2k8RFWpi76GjVJYXM39EEKszagFYs6eW+SOCqCovqb+/N5/KF82YxP4VRzi6rwSH3cHRfSXsX3GERTMmeeV+wjekasVP2G028g/tZ8+qlxnTO4JFM8YYHVLA6+jmDQeOHKdXBOiwWH5444FfFib7Od98Wffn9x69lUvvfpbMvXs4VKJRCnpEKA6XaoItJuzaRJDJQbdQZzlhZWUVtXbnr36tA0KDTFTVOggygVKKHonR9TE0rIbxNKlaCVBSteL/zBYLyakDSL7l72Rt+5p5z3zEhQPCuPjU/lK22AENFxhv+ajl1702TZabfsrkynueZPGMMGYuOcY767/np137WD4nnEvf3odDa1ZcGc6spftYvWnniWNWZi2tIDE2mldmRXDLRxW8cP9N3PyXl3l+Whg3vF+G2aR4aXp3j20I4Y6p44dI4u5kZGrFD6WOOJ1zbn6I3XHncvubP/P4sm8oLPFeJUNn1NEFzFsefYP5I4IYmWRh/oggbn/szfqFyenpJgbE0mCR8rX6Y5cONBOlypptw08IquLslBqfLGaKrkkSuR/rd8rpnLvwz9SOv5lb//k1R4tKjQ4pIHR0AXPTT5kUHTvGraeeWIgcEkSIsnHjmBCqbA4uHWShohYKKuzMGRqMo6aS60eHUOvQzBpk4XhFLUdKapl7Shg/7drHtEGhFJTZKCyr5qK+dmx2h9cXM0XXJC36fk4pRZg1guThE3l1+RrWf7OdwSmRxESEGR2a3+roJgyX/OZpLku3OVvrgRe/rWZogplxKSYKKzSJ4QqbA37ItbO30M6AWBOndDdjd0BMKNTYNZsOVjE2xURVdTUHSxQ/5lQzKMbBmakWKmo1idHdPL4hhOgivN2ir5SaAjwFmIF/aq0fdnW+LHZ2XOGRw+z5aiXWwp3MnpDOxGHSJdpUW9rpmyo4XkbarPsItTjb6avtYFIQYlbU/bLWrTLVnFiwDD5xrOHqU5VNEx5qAa1xnPgLrwkHAGazicQT6x1xMTFYw0JcblAhRCPe3FhCKWUGMoALgEPAFmCu1npHS9dIIndfWXERuz57D3P+Dm6+cDAj+iUZHVJAa1jhArRY7eKqEqY9m06051whAK9vLDEO2Ku13q+1rgGWADM8MK5wwRoVw9jp13PKdY/wj28qufap9WQczCfvWInRoQWchhUuy9d/w4pPNzfbLu+qlb89bf6eeCWAEA15IpH3ALIb/HzoxGeNKKUWKKW+VUp9u/GD/3jgtgKcTUWnXX4bo6/9I//vx2Du/aSAexZ/ymtrf+SNtdsoq6g2OkS/17DCxVWFiatKmPZUyXjilQBCNOSJRN7co/5JUyda65e01mO11mPPmj7XA7cVDXULj2D01PlMuOJ24i++m+y0uezpNZMFL33BXa98wVsbWpzp6tIaVri4qjBxVQnTnioZT7wSQIimPNEQdAjo1eDnnkCOB8YVHRQdlwhxzj/3uu0JAL77/EM2LP4OhSK4tpjfzxlLQrQVpZqdcvO5tuxO7437jRzQkwCq7gIAAA1USURBVGlpJqJCTfzh42ymD7SQGmOm4HgZSXGRjZ6Ym7byt+VY0/nv5l4J0NK5QrSVJxY7LTgXO88DDuNc7Jyntd7e0jWy2Gmswvwcdn66jPjKLMald2dMWnf694g3NCZfL/7V3a/QFoJFOSgpr+JYSQUhZhPKpBpVmKQkOv/ZtFQJ4+pY0yqZjlTUCAF4t2oFQCl1EfAkzvLDxVrrh1ydL4ncPxQdzaO85Dj7N75LkrmEe2aNIT7a2vqFHlZwvIw5dz/F89PCfNLC3vR+Ddvp/aGFXohmeblqBa31Sq31AK11/9aSuPAfMQlJ9Ow/iLOuu59el/2eu5bu5s5/fkZxWSVV1bU+i8PXi39N7+dqV3shAoG06AvAuVg68foHSLjwVu78MI9rXv6OZz/YQvaRIq/e19eLf03v17Cd3hf3F8IbJJGLRuJT+jD+8tu44OY/kz9wLvcu38PvXt3I8dIKr9zP1eKfL+6nbJXMG2bhox1lPrm/EN4g7yMXrSovLWbzq3/gmRvOIDbSs3PH7V38q9upfs3Ti0jvldjmY3VVKuUV1RQU/fK3jPyiUux2Bw5M9Ih3Lm46HJqi8hq+fe1+4qLCfV5RI0SzvL3Y2V6SyANPRVkp37/2AK/9+nxD42i4yUPTnepdHXOnfV7a6YVf8PZip+j8wqwRhKYMYtPOQ4bF4Gqn+vbsYt+e9vmMg/nSTi/8niRy0WZjZi7g+U3FfPHzQUPu72qn+vbsYt+e9nmpaBGBQBK5aDOlFBOu+j+e//o4WbnHfHpvVzvVt2cX+/a0z1880DnOvJFhrV4rhJFkYwnRLkopgiIT2LFpPWf68F3oN/31Nc5PKmX6QOdGxhHBJgrK7by56TDrtuxo8djxkoo2bzLRdEOK178tJj3Kxqk9grCGhbR5gwohvMLbG0u0lyx2Br4936wlLvdz7pl9mk/ulzrjXmprTn6TY1CwM3m3dGxEWs8Ot88fLijFhKNRu35L1wrhdVK1Irxh73cbiMxcx31Xnm50KEJ0flK1Irwhbcwk8pMmsPKbDKNDEaJLk0Qu3NLvlAks+TqTiqoao0MRosuSRC7cEhYRyfC593PzCxtkNyIhDCKJXLgtOi6RU+b9ngfe2mR0KEJ0SZLIhUdExsZzjGi2Zx0xOhQhuhxJ5MJjzrj6Hh5adZAf9+UaHYoQXYokcuExJrOZs294gEfX5fJthmzbKoSvSCIXHmUymTjruvt4du0eo0MRosuQRC48zmQyET1oAi+u2mp0KEJ0CZLIhVcMOXsGu0NH8OyH3xsdihCdniRy4TWDz7yEzUVWjhaVGh2KEJ2aJHLhVWERMdjsDqPDEKJTk0QuvCrIGs3PB05++6AQwnMkkQuvGjZpBq9+adz2cEJ0BRajAxAd87fb5lJWdvLcs9UawW+f+Y8BETVPKUVYRKTRYQjRqUkiD1BlZaX0u/Hpkz7f/8/bDYhGCGEkmVoRQogAJ4lcCCECnCRy4XXVNkVhiew8L4S3yBx5J5CXvR+73Q5AUUE+9107DfCfhc8xl9/Bg0v+xD8WTDI6FCE6JUnkAcpqjahf2CwqyCfIGgtAaHxP+t34OOA/C59h1gjMQSFGhyFEpyWJPEA1fNK+79ppzVawCCG6BpkjF0KIAOdWIldKXa6U2q6UciilxnoqKCGEEG3n7hP5z8AsYKMHYhGd2PGyChwOeXmWEN6gtNbuD6LUBuA3Wutv23L+yxv3u3/TTshV2/3BPTvRZvMvH2oNKHDYUGYL9f9A7XZMQcEAWEyK5N79/KKV/8D270jNWcWNU0f57J5CdCqRKTDsMtXcIZ8tdiqlFgALAK666y+cNX2ur24dMFy13WuzmV63/bv+s5qCgwTH9yZn8W10n3kPIfG9Ach5dREjbnu+/jp/aeWP79Wfoj01Pr2nEF1Fq4lcKbUOSGrm0H1a6xVtvZHW+iXgJZAnciGE8KRWE7nW+nxfBCKEEKJjpPxQCCECnLvlh5cqpQ4BpwMfK6VWeyYsIYQQbeXWYqfW+j3gPQ/F0uUV5h7i2F9n1/+sbc6KFE7UpGQ/fZXzc7sNZTYDCm23kfvWbxtVrXz38BXAL1UrzS1sWq0RXvwmJ7MEBbP9cBFaa5RqduFdCNFB0qLvR1RQMKm3vV7/88HFd5By7VPU5GeCyUxwXWXK4tsYveifwC/VJy1VpvjDS7MAQrqFETTgbH7IOMTogb2MDkeITkXmyIXPhEREY5emICE8ThK5EEIEOEnkQggR4DzSot9eXakhqLXd7u+Yfho2h/Mfh72mGkt09/pzbMfzMJ14j7duMCXRdLHTuSBad6yW0NgU5/WlBfTsm+4XLfoAOzatY15cBqcO7uPT+wrRKfhDi35X1VqLvM2h6XNigTPzqXnEX7So/pwjb/+elAUvO88rPkJQbE8Acl+9g/jpdxMU14vcV24n+bpfxj/0zNXETbsTgPy3H/CbFn2A0PBIfj5QKIlcCA+TqRW/oghO7EtwYl+C4vugTKb6J3IAZTKhTL/8X9awjE8pVf9zj9R0eqSmExUX77vQ26Df8HF8vFv27hTC0ySRC58Kj4gyOgQhOh1J5EIIEeAkkQshRICTqhUva1q1UnysAId2oLSD6IQkjuVmg9mCQuGw1aDMQfXnanttg59PbCRB61Ur8SnODtC6Nnx/qVoB+OL1h3nt+uE+v68QAU+qVozTNFk23fG+34n/3f/P23no1Y9aPHfLQ7PpdbtzYwntcNQvemY/fRUvrPrOS9F7nim4GwfyCumTFGt0KEJ0GjK1Inzq1Fk38+dl24wOQ4hORRK58Kmg4BBCwsKNDkOITkUSuRBCBDhJ5EIIEeBksdPHrNaINm/00PBcba+t31iiEXutx2MUQgQWSeQ+1p6SP3/ZFMLTSiuqqKm1ERwkv35CeIJMrQifG3zJLTz8zjdGhyFEpyGJXPhcfEofyqrtRochRKchiVwIIQKcJHIhhAhwksiFECLASSIXhigprzI6BCE6DUnkwhCq7xls2JppdBhCdAqSyIUhEvoNp6CkwugwhOgUJJELIUSAk0QuhBABThK5EEIEOEnkwhDKZKK0osboMIToFCSRC0P06DeQlbvLKZUyRCHcJolcGEIpRVzvAVRUy1O5EO6SRC6EEAHOrUSulPq7UmqXUmqbUuo9pVS0pwITQgjRNu4+ka8FhmmtRwAZwG/dD0kIIUR7uJXItdZrtNa2Ez9uAnq6H5LoKjRQVWNr9TwhhGuenCO/HljV0kGl1AKl1LdKqW83ftA5tzAT7TP47Et5cOkPRochRMBrddNEpdQ6IKmZQ/dprVecOOc+wAa82dI4WuuXgJcAXt64X3coWtGphEdGY4mINToMIQJeq4lca32+q+NKqf8BpgHnaa0lQQshhI+5tY25UmoKcA9wttZaXmUnhBAGcHeO/BkgAlirlNqqlHrBAzEJIYRoB7eeyLXWaZ4KRHRNdrsdrTVKKaNDESJgSWenMFTP0y7h0WVbjA5DiIAmiVwYqtfg0eSVSi25EO6QRC6EEAFOErkQQgQ4SeRCCBHgJJELwzmkj0wIt0giF4ariu7Ppz9mGR2GEAFLErkw3MCzLuX7fflGhyFEwJJELoQQAU4SuRBCBDhJ5EIIEeAkkQu/IG9AFqLj3HppVkfFRwQbcVvhp2LCElhTZMIWEofFYjY6HCH8U7eYFg8peRJybkN3YgejLqWrfm/out+9q35v6NzfXaZWnBYYHYBBuur3hq773bvq94ZO/N0lkQshRICTRC6EEAFOErlTp5w3a4Ou+r2h6373rvq9oRN/d1nsFEKIACdP5EIIEeAkkQshRICTRA4opf6ulNqllNqmlHpPKRVtdEy+opS6XCm1XSnlUEqNNToeb1NKTVFK7VZK7VVK3Wt0PL6ilFqslMpXSv1sdCy+pJTqpZT6VCm188Tv+a+NjskbJJE7rQWGaa1HABnAbw2Ox5d+BmYBG40OxNuUUmbgWWAqMASYq5QaYmxUPvMqMMXoIAxgA+7SWg8GxgO3dsb/zyWRA1rrNVrruq3cNwE9jYzHl7TWO7XWu42Ow0fGAXu11vu11jXAEmCGwTH5hNZ6I1BodBy+prXO1Vp/f+LPpcBOoIexUXmeJPKTXQ+sMjoI4RU9gOwGPx+iE/5LLZqnlEoFRgHfGBuJ5xny0iwjKKXWAUnNHLpPa73ixDn34fyr2Ju+jM3b2vLduwjVzGdSf9sFKKWswDJgkda6xOh4PK3LJHKt9fmujiul/geYBpynO1lxfWvfvQs5BPRq8HNPIMegWISPKKWCcCbxN7XWy42OxxtkagVnJQNwDzBda11hdDzCa7YA6UqpvkqpYOBK4AODYxJepJRSwL+AnVrrJ4yOx1skkTs9A0QAa5VSW5VSLxgdkK8opS5VSh0CTgc+VkqtNjombzmxoH0bsBrnotdSrfV2Y6PyDaXUf4CvgYFKqUNKqRuMjslHJgBXA+ee+Hd7q1LqIqOD8jRp0RdCiAAnT+RCCBHgJJELIUSAk0QuhBABThK5EEIEOEnkQggR4CSRCyFEgJNELoQQAe7/Awf90i0dpkAvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Wrap keras model\n",
    "model_no_ohe = Onehot2Int(model)\n",
    "\n",
    "# Plot decision boundary\n",
    "plot_decision_regions(X, y, clf=model_no_ohe)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# API"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "## plot_decision_regions\n",
      "\n",
      "*plot_decision_regions(X, y, clf, feature_index=None, filler_feature_values=None, filler_feature_ranges=None, ax=None, X_highlight=None, res=None, zoom_factor=1.0, legend=1, hide_spines=True, markers='s^oxv<>', colors='#1f77b4,#ff7f0e,#3ca02c,#d62728,#9467bd,#8c564b,#e377c2,#7f7f7f,#bcbd22,#17becf', scatter_kwargs=None, contourf_kwargs=None, scatter_highlight_kwargs=None)*\n",
      "\n",
      "Plot decision regions of a classifier.\n",
      "\n",
      "Please note that this functions assumes that class labels are\n",
      "labeled consecutively, e.g,. 0, 1, 2, 3, 4, and 5. If you have class\n",
      "labels with integer labels > 4, you may want to provide additional colors\n",
      "and/or markers as `colors` and `markers` arguments.\n",
      "See http://matplotlib.org/examples/color/named_colors.html for more\n",
      "information.\n",
      "\n",
      "**Parameters**\n",
      "\n",
      "- `X` : array-like, shape = [n_samples, n_features]\n",
      "\n",
      "    Feature Matrix.\n",
      "\n",
      "- `y` : array-like, shape = [n_samples]\n",
      "\n",
      "    True class labels.\n",
      "\n",
      "- `clf` : Classifier object.\n",
      "\n",
      "    Must have a .predict method.\n",
      "\n",
      "- `feature_index` : array-like (default: (0,) for 1D, (0, 1) otherwise)\n",
      "\n",
      "    Feature indices to use for plotting. The first index in\n",
      "    `feature_index` will be on the x-axis, the second index will be\n",
      "    on the y-axis.\n",
      "\n",
      "- `filler_feature_values` : dict (default: None)\n",
      "\n",
      "    Only needed for number features > 2. Dictionary of feature\n",
      "    index-value pairs for the features not being plotted.\n",
      "\n",
      "- `filler_feature_ranges` : dict (default: None)\n",
      "\n",
      "    Only needed for number features > 2. Dictionary of feature\n",
      "    index-value pairs for the features not being plotted. Will use the\n",
      "    ranges provided to select training samples for plotting.\n",
      "\n",
      "- `ax` : matplotlib.axes.Axes (default: None)\n",
      "\n",
      "    An existing matplotlib Axes. Creates\n",
      "    one if ax=None.\n",
      "\n",
      "- `X_highlight` : array-like, shape = [n_samples, n_features] (default: None)\n",
      "\n",
      "    An array with data points that are used to highlight samples in `X`.\n",
      "\n",
      "- `res` : float or array-like, shape = (2,) (default: None)\n",
      "\n",
      "    This parameter was used to define the grid width,\n",
      "    but it has been deprecated in favor of\n",
      "    determining the number of points given the figure DPI and size\n",
      "    automatically for optimal results and computational efficiency.\n",
      "    To increase the resolution, it's is recommended to use to provide\n",
      "    a `dpi argument via matplotlib, e.g., `plt.figure(dpi=600)`.\n",
      "\n",
      "- `zoom_factor` : float (default: 1.0)\n",
      "\n",
      "    Controls the scale of the x- and y-axis of the decision plot.\n",
      "\n",
      "- `hide_spines` : bool (default: True)\n",
      "\n",
      "    Hide axis spines if True.\n",
      "\n",
      "- `legend` : int (default: 1)\n",
      "\n",
      "    Integer to specify the legend location.\n",
      "    No legend if legend is 0.\n",
      "\n",
      "- `markers` : str (default: 's^oxv<>')\n",
      "\n",
      "    Scatterplot markers.\n",
      "\n",
      "- `colors` : str (default: 'red,blue,limegreen,gray,cyan')\n",
      "\n",
      "    Comma separated list of colors.\n",
      "\n",
      "- `scatter_kwargs` : dict (default: None)\n",
      "\n",
      "    Keyword arguments for underlying matplotlib scatter function.\n",
      "\n",
      "- `contourf_kwargs` : dict (default: None)\n",
      "\n",
      "    Keyword arguments for underlying matplotlib contourf function.\n",
      "\n",
      "- `scatter_highlight_kwargs` : dict (default: None)\n",
      "\n",
      "    Keyword arguments for underlying matplotlib scatter function.\n",
      "\n",
      "**Returns**\n",
      "\n",
      "- `ax` : matplotlib.axes.Axes object\n",
      "\n",
      "\n",
      "**Examples**\n",
      "\n",
      "For usage examples, please see\n",
      "    [http://rasbt.github.io/mlxtend/user_guide/plotting/plot_decision_regions/](http://rasbt.github.io/mlxtend/user_guide/plotting/plot_decision_regions/)\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "with open('../../api_modules/mlxtend.plotting/plot_decision_regions.md', 'r') as f:\n",
    "    print(f.read())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
